# Time and Work Problems- questions with Pdf

Time and work is the topic of Arithmetic Math in which how many people can do a work in how many times, we solve the questions related to it. Although this topic is not difficult, the language of the questions should be understood only then you will be able to answer them. Time and work problems are seen in SSC, Bank, and other exams.

There are 4 to 5 problems are formed in this topic, and in remaining questions, there is a mixture of these methods, let’s know about their methods-

#### 1. individual Theory

In This problem one, two, or three individual persons with their days are given and everyone has to work together to extract the entire work, which is taken out with the help of LCM, Percentage, or Fraction then solve the whole work by dividing their work efficiency.

Here, it is most important that a person’s work is done in a day, how much work he does in a day, that is his ability. Example-

A- 10 days, B- 15 days, now LCM of (10, 15)= 30 (total work ) A works 10 days means his efficiency is 3 and B works for 15 days means B efficiency is 2. Total work is done in how many days – 30/A+B= 30/2+3= 6 days.

2. Leave and Come– In the questions of this topic, a task starts but a person leaves the work in the middle or a new person is arrives, due to which the delay in the completion of the work or how soon the work will be completed. These people can be one, two, or even more.

#### 3. Group Theory

This is a group of many persons, where people do one thing together. In these questions, the number of persons is decreased or increased, which includes work, number of people, days, hours, weeks, etc.
The formula has also been created to solve such questions easily- M1 x D1 x H1 x xE1/W1= M2 x D2 x H2 x E2/W2

Work(w), Time(t), Efficiency(e), Days(d), Hours(h)

4. Work and Wages– Wages are given on the basis of the personality of the person on working in these questions, how much money should be given per person on completion of the work.
To share the salary, the work capacity of all the individuals is added, after dividing the work capacity with the entire money, the person who has to give it gets multiplied by the efficiency of the person alone.

#### 5. Alternate days

In these questions, the work is done on different days, like a person should do work separately. On the first day one person and on the second day the second person, then in how many days the work will be completed. The person can be 2 or more.

### Time and Work 30 Questions on Different Patterns

1. एक मजदूर प्रतिदिन 8 घंटे कार्य करके एक काम को 14 दिनों में पूरा कर सकता हैI तदनुसार उसे वही कार्य 12 दिनों में पूरा करने के लिए प्रतिदिन कितने घंटे कार्य करना होगा ?
A laborer can work for 8 hours daily and can complete a work in 14 days. Accordingly how many hours will he have to work daily to complete the same work in 12 days?
(a) 7 (b) 9 (c) 12 (d) 14
1. A और B एक काम को 12 दिनों में पूरा कर सकते है, C और A उसे 8 दिन में कर सकते है. तीनो मिलकर उसे 6 दिन में कर सकते है. B और C मिलकर उसे कितने दिनों में पूरा कर सकते है ?
A and B can complete a work in 12 days, C and A can do it in 8 days. All three can do it in 6 days. In how many days can B and C together complete it?
(a) 4 (b) 8 (c) 6 (d) 10
1. कुछ पुरुष किसी कार्य को 55 दिनों में पूरा कर सकते हैI यदि 6 पुरुष और आ जाए, तो इस कार्य को पूरा करने में 11 दिन कम लगेंगे. शुरुआत में कितने पुरुष थे?
Some men can complete a work in 55 days. If 6 more men come, it will take 11 days less to complete this work. How many men were there in the beginning?
(a) 24 (b) 21 (c) 16 (d) 32
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1. A 3/4 समय में B से आधा कार्य करता हैI यदि वे मिलकर उस कार्य को 18 दिन में पूरा करते है , तो B अकेले उस कार्य को कितने समय में पूरा करेगा ?
A does half the work of B in 3/4 time. If they together complete that work in 18 days, then B alone will complete the work in how much time?
(a) 40 (b) 30 (c) 55 (d) 20
1. A जितना काम 4 दिन में करता है, B वही काम 5दिन में करता है और B जो काम 6 दिनों में करता है , C वही काम 7 दिन में करता है I बताइए कोई काम जो A एक सप्ताह में करता है, वह C कितने दिन में पूरा करेगा?
A does as much work in 4 days, B does the same work in 5 days, and B who does work in 6 days, C does the same work in 7 days. Tell in how many days will C do the work that A does in a week?
(a) 245/10 (b) 24/5 (c) 36/5 (d) 55
1. महेश किसी कार्य का 2/3 भाग 10 दिनों में पूरा करता हैI वह उस कार्य का 3/5 भाग कितने दिनों में पूरा करेगा?
Mahesh completes 2/3 of a work in 10 days. In how many days will he complete 3/5 of that work?
(a) 8 (b) 5 (c) 9 (d)10
1. 18 आदमी अथवा 36 लड़के 6 घंटे प्रतिदिन काम करके एक दिवार को 24 दिनों में बना सकते हैI 24 आदमी तथा 24 लड़के मिलकर 9घंटे प्रतिदिन काम करके उसी दीवार को कितने दिनों में बना लेंगे?
18 men or 36 boys can make a wall in 24 days by working 6 hours a day. In how many days will 24 men and 24 boys work together for 9 hours a day?
(a) 10 (b) 5 (c) 8 (d) 4
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1. एक किसान के द्वारा एक खेत को 24 घंटे में जोता जाता हैI 6 घंटे बाद वह आराम लेता है, खेत का कितना हिस्सा अभी भी जोता जाना बाकी है?
A farm is plowed in 24 hours by a farmer. After 6 hours he takes rest, how much part of the field is still to be plowed?
(a) 0.6 (b) 0.8 (c) 0.2 (d) 0.5
1. A किसी कार्य को जितने समय में करता है उसके 1/3 समय में B आधा कार्य करता है I यदि एक कार्य को पूरा करने के लिए दोनों को एक साथ कुल 55 दिन लगते है, तो B अकेला उस कार्य को करने में कितने दिन लेगा ?
B does half the work in 1/3 of the time A does a work. If both take a total of 55 days together to complete a task, B alone will take how many days to do that work?
(a) 19 (b) 26 (c) 25 (d) 30
1. किसी काम को पूरा करने में X, Y से 20% अधिक समय लेता हैI यदि दोनों मिलकर कार्य को 30 दिन में पूरा करते है, तो Y अकेला उसे पूरा करने में कितने दिन लेगा ?
X takes 20% more time than Y to complete a work. If both together complete the work in 30 days, then Y alone will take how many days to complete it?
(a) 40 (b) 65 (c) 32 (d) 55
1. A और B ने किसी काम को करने का 7200 रूपए का ठेका लिया हैI A अकेला इस कार्य को 20 दिन में कर सकता है तथा B अकेला इस कार्य को 12 दिन में कर सकता हैI C की सहायता से उन्होंने इस कार्य को 5 दिन में पूरा कर लियाI C का हिस्सा रूपए में कितना है? A and B have taken a contract of Rs 7200 to do some work. A alone can do this work in 20 days and B alone can do this work in 12 days. With the help of C, he completed this work in 5 days. How much is C’s share in rupees?
(a) 2400 (b) 3200 (c) 2000 (d) 1900
1. 24 व्यक्ति प्रतिदिन 8 घंटे काम करते हुए 2 इकाई काम 10 दिन में पूरा करते हैI उस काम के 4 इकाई काम को प्रतिदिन 6 घंटे काम करते हुए कितने व्यक्ति 16 दिनों में पूरा करेंगे?
24 people work 8 hours a day, completing 2 units in 10 days. How many people will complete 4 units of that work in 6 days, working 6 hours per day?
1. P तथा Q मिलकर किसी कार्य को 3 दिन में पूरा कर सकते हैI उन्होंने मिलकर कार्य करना आरम्भ किया किन्तु 2 दिन बाद Q ने काम छोड़ दिया. यदि इस प्रकार काम को पूरा होने 2 दिन से अधिक समय लगा हो, तो Q अकेले उस कार्य को को कितने दिन में पूरा का सकता था ? P and Q together can complete a work in 3 days. They started working together but after 2 days Q left the work. If the work had taken more than 2 days to complete in this way, then Q could have completed the work alone in how many days?
(a) 5 (b) 8 (c) 6 (d)11
1. A,B,C किसी काम को अलग अलग क्रमश: 16, 32 और 48 दिनों में कर सकते है. वे एक साथ कार्य आरम्भ करते है किन्तु B कार्य समाप्त होने से 8 दिन पहले और C 6 दिन पहले कार्य छोड़ देता हैI कार्य कितने दिनों में पूरा हुआ? A, B, C can do any work separately in 16, 32 and 48 days respectively. They start work together, but B leaves 8 days before the end of work and C leaves 6 days before. In how many days did the work complete?
(a) 15 (b) 20 (c) 14 (d) 10
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1. एक दिन में 7 घंटे कार्य करने पर 4 व्यक्ति किसी कार्य को 8 दिन में पूरा कर सकते हैI 8 घंटे प्रतिदिन कार्य करते हुए 4 दिनों में इस कार्य को पूरा करने के लिए कितने व्यक्तियों की आवश्यकता होगी?
After working 7 hours in a day, 4 people can complete a work in 8 days. Working 8 hours a day, how many people will be required to complete this work in 4 days?
(a) 6 (b) 8 (c) 4 (d) 9
1. रामू कार्यकुशलता में राजू से तिगुना कुशल है और इसलिए किसी कार्य को पूरा करने में राजू से 60 दिन कम समय लेता हैI एक साथ कार्य करते हुए वे इस कार्य को कितने समय में पूरा करेंगे?
Ramu is three times as efficient as Raju and therefore takes 60 days less than Raju to complete a task. In how much time will they complete this work together?
(a) 25 (b) 45/2 (c) 36 (d) 22
1. एक ठेकेदार का लक्ष्य 40 दिन में काम पूरा करने का हैI उसने 20 व्यक्तियों को काम पर लगाया जिन्होंने 10 दिन में 1/4 काम पूरा किया और छोड़कर चले गये I उसने अपने लक्ष्य के अनुसार शेष काम को पूरा करने के लिए कितने व्यक्तियों को काम पर लगाना होगा? The goal of a contractor is to complete the work in 40 days. He hired 20 people who completed 1/4 of the work in 10 days and left. According to his goal, how many people will have to be employed to complete the remaining work?
(a) 40 (b) 25 (c) 20 (d) 30
1. 18 लड़के एक कार्य को 24 दिन में पूरा कर सकते है. यदि 6 लड़के 12 दिन के पश्चात कार्य छोड़कर चले जाए , तो शेष कार्य को पूरा करने में कितने दिन लगेंगे?
8 boys can complete a work in 24 days. If 6 boys leave work after 12 days, then how many days will it take to complete the remaining work?
(a) 21 (b) 16 (c) 24 (d) 30
1. पंकज कसी कार्य के 1/4 भाग को 3 दिन तथा संजय उसी कार्य के 1/6 भाग को 4 दिन में पूरा कर सकता हैI यदि दोनों मिलकर कार्य को पूरा करे तो 1800 रूपए के मेहनताने में से पंकज को कितनी राशि मिलेगी?
Pankaj can complete 1/4 part of any work in 3 days and Sanjay can complete 1/6 part of the same work in 4 days. If both together complete the work, then how much amount will Pankaj get out of the 1800 rupees?
(a) 1200 (b) 1000 (c) 1500 (d) 1900
1. एक किले में 50 दिनों के लिए भोजन सामग्री हैI यदि 10 दिनों के बाद 500 व्यक्ति और आ जाने पर शेष भोजन 35 दिन के लिए पर्याप्त होता है, तो किले में प्रारंभ में कितने व्यक्ति थे?
A fort has food items for 50 days. If 500 persons after 10 days and the remaining food is sufficient for 35 days, then how many people were there initially in the fort?
(a) 4000 (b) 2200 (c) 3000 (d) 3500
1. यदि 40 पुरुष या 60 महिलाये ये 80 बच्चे किसी कार्य को 6 माह में कर सकते है, तो 10 पुरुष, 10 महिलाए, 10 बच्चे मिलकर आधे कार्य को कितने माह में पूरा करेंगे?
If 40 men or 60 women, these 80 children can do a work in 6 months, then in how many months will 10 men, 10 women, 10 children together complete half the work?
(a) 72/13 (b) 61/13 (c) 110/13 (d) 6 months
1. 4 पुरुष या 6 महिलाये एक कार्य को 7 घंटे प्रतिदिन कार्य करके 12 दिनों में कर सकते हैI तदनुसार उसी कार्य का दुगना बड़ा कार्य 10 पुरुष तथा 3 महिलाये 8 घंटे प्रतिदिन कार्य करके कितने दिनों में पूरा कर सकेंगे?
4 men or 6 women can work for 7 hours a day in 12 days. Accordingly, in how many days can 10 men and 3 women work twice as long for the same work, working 8 hours a day?
(a) 9 (b) 7 (c) 11 (d) 15
1. (x+4) व्यक्तियों द्वारा (x+5) दिनों में किया गया कार्य (x-5) व्यक्तियों द्वारा (x+20) दिन में किये गए कार्य के बराबर है, तो x का मान बताइए?
The work done by (x + 4) persons in (x + 5) days is equal to the work done by (x + 5) persons in (x + 20) days, then the value of x is
(a)15 (b)18 (c) 20 (d) 26
1. A,B,C को एक काम रूपए 5750 में करने के लिए नियुक्त किया गया हैI A तथा B ने 19/23 काम पूरा किया और B तथा C ने मिलकर 8/23 काम पूरा किया I रुपयों में B की मजदूरी क्या है?
A, B, C have been appointed to do a work for Rs. 5750. A and B completed 19/23 work and B and C together completed 8/23 work. What is B’s wages in rupees?
(a) 1200 (b) 1600 (c) 1000 (d) 800
1. A takes 4 days more than A and B together to complete work and B takes 16 days more than A and B to complete the same work. Find in how many days A and B will complete the work?
A को किसी कार्य को पूरा करने में A और B की तुलना में 4 दिन अधिक समय लगता है और B उसी कार्य को पूरा करने में A और B से 16 दिन अधिक लेता हैI A और B कार्य को कितने दिनों में पूरा करते हैं?
(a) 12 (b) 16 (c) 14 (d) 8
1. Sita and Geeta separately can do a work in 9 and 12 days respectively. Is Sita begins the work and they work on alternate days. In how many days the work will be completed?
सीता और गीता क्रमशः 9 और 12 दिनों में एक काम कर सकते हैं। सीता काम शुरू करती हैं और वे वैकल्पिक दिनों में काम करती हैं। कार्य कितने दिनों में पूरा होगा?
(a) 15 (b) 41/4 (c) 10/3 (d) 20
##### Average Questions In Maths
1. 14 men complete a work in 18 days and 15 women complete the same work in 24 days. 14 Men worked for the first 3 days and 10 women worked for the next three days. How much work is remaining?
14 पुरुष 18 दिनों में एक काम पूरा करते हैं और 15 महिलाएं 24 दिनों में वही काम पूरा करती हैं। 14 पुरुषों ने पहले 3 दिन और 10 महिलाओं ने अगले तीन दिनों तक काम किया। कितना काम बाकी है?
(a) 3/4 (b) 9 (c) 2 (d) 4
1. 7 men and 4 women can complete a work in 5 days and 7 children and 3 women can complete a work in 7 days, then 1 man, 1 woman, and 1 child will complete the work in.
7 पुरुष और 4 महिलाएं 5 दिनों में एक काम पूरा कर सकते है और 7 बच्चे और 3 महिलाएं 7 दिनों में एक काम पूरा कर सकते है, फिर 1 पुरुष, 1 महिला और 1 बच्चा कितने दिनों में पूरा काम करेंगे ?
(a) 33 (b) 29 (c) 245/12 (d) 40
1. 3 men, 4 women, and 6 children can complete a work in 7 days. A woman does double the work as a man does and a child does half the work as a man does. how many women alone can complete the same work in 7 days?
3 पुरुष, 4 महिलाएं और 6 बच्चे 7 दिनों में एक काम पूरा कर सकते हैं। एक महिला एक आदमी के रूप में काम दोगुना करती है और एक बच्चा आधा काम करता है जैसा कि एक आदमी करता है। अकेले 7 दिनों में कितनी महिलाएं वही काम पूरा कर सकती हैं?
(a) 7 (b) 9 (c) 12 (d) 4
1. Three friends A, B, and C can finish the work in 20, 30, and 60 days. If A is assisted by B and C on alternate days it means ist day only A and B and 2nd day only A and C) then in how many days they will complete the work?
तीन मित्र A, B और C 20, 30 और 60 दिनों में काम पूरा कर सकते हैं। यदि A को वैकल्पिक दिनों में B और C द्वारा सहायता प्रदान की जाती है ( इसका अर्थ है कि पहले दिन केवल A और B और दूसरे दिन केवल A और C ) तो कितने दिनों में वे कार्य पूरा करेंगे?
(a) 13 (b) 5 (c) 13/2 (d) 4

These Previous years SSC 30 questions have been taken from all the topics of Time and Work. The same questions keep repeating in exams.

#### time and work questions pdf For Bank PO

1. Sunder and Subhash are chefs in a hotel. In 15 minutes, Sunder can cut 112 onions and Subhash is 125% as efficient as Sunder. One day, in the hotel 4200 onions were to be cut. If Sunder and Subhash started working together, then in how many hours they can complete the work?
A. 4 hours 10 minutes B. 4 hours 20 minutes C. 4 hours 50 minutes D. 4 hours 15 minutes
E. None of these

2. A, B and C can do a certain piece of work in 16, 20 and 24 days respectively. They started the work together but after ‘x – 8’ days, A left the job. ‘x’ days before completion of the work B also left. If the whole work is completed in ‘x+5’ days, then find the value of ‘x’.
A. 12 B. 14 C. 15 D. 18 E. None of these

3. Four friends A, B, C and D are assigned to complete a work. A, C and D together can complete the task in 8 days while A and C together can complete the same work in 72/7 days. If B is 20% more efficient than D, then find the sum of number of days taken by B and C to complete the task individually, if it is given that ratio of efficiency of A and C is 3: 4, respectively.
A. 56 days B. 42 days C. 36 days D. 48 days E. 54 days

4. It takes 8 women, each working at the same rate a total of 20 days to build a room. If 8 women start to build the room on January 1, 2006 and one man per day is added beginning from January 7, 2006, at the end of which day will the room be completed given that each man can work twice as fast as each woman?
A. January 12, 2006 B. January 13, 2006 C. January 14, 2006 D. January 16, 2006
E. January 15, 2006

5. A and B together can do a work in 18 days and B and C together can do it in 30 days. All three arrive on the work site and for the first 14 days only B and C work together, then A worked alone for some days and then he left for his home. After A has left B and C complete the remaining work in 18 days with B working on every 1st and 3rd day and C working on every 2nd day. After how many days A left the work site?
A.18 days B. 20 days C. 6 days D. 12 days E. None of these

6. Rocky and Monty decided to do a task. They can do the task in z and (z + 10) days respectively. They were paid Rs. 2000 for completing the task in 16 2/3 days. They took help of Jolly and completed the work in time. If Jolly’s share is Rs. 500, find the time taken by Rocky and Monty to complete the task individually?
A. 20, 30 days B. 30, 40 days C. 40, 50 days D. 45, 55 days E. None of these

7. In a restaurant, the owner plan to do a work in 8 days with 4 machines. But after 2 days, they find that only 40% of the work is done with the machines running for 6 hours a day. If they want to complete the work in the planned time with the machines, how many hours per day the machines have to work?
A. 4 hours B. 5 hours C. 6 hours D. 3 hours E. 7 hours

8. A farmer can sow 80 seeds in an hour. He had 1000 seeds to be sown in 2 days time working 5 hours daily. To accomplish this work he took the help of his wife and both of them started working together to complete the work. Find out how many seeds can be sown by his wife in an hour?
A. 30 B.25 C. 24 D. 28 E. 20

9. Amit, Bhola and Chandan can do some specific part (and not whole) of work in 6 days, 9 days and 12 days respectively. If they work together for 24 days to complete some additional piece of work, how many days will Bhola and Chandan together take to complete this additional piece of work done by all three of them in 24 days?
A. 44 days B. 31 2/9 days C. 50 days D. 44 4/7days E. 42 days

10. 24 men get a target of completing a work in 35 days. They started working together and found that after 20 days they just completed 50% of the work. How many more men need to be included so that work finishes in time?
A. 8 B. 10 C. 12 D. 11 E. 15

11. Pankaj can do as much work in 4 days as Kamal can do in 6 days, and Kamal can do as much work in 5 days as Ambuj in 8 days. What wages does Ambuj get for a piece of work which Pankaj can do in 70 days, if Ambuj gets Re. 1 for 1 day?
A. Rs. 144 B. Rs. 124 C. Rs. 168 D. Rs. 130 E. None of these

12. 2 employees and 3 trainees together can finish a project in 7 days, 6 employees and 13 trainees together can finish the same project in 2 days. Find the time taken by 4 employees and 4 trainees together to finish the same work.
A. 4 days B. 5 days C. 6 days D. 8 days E. None of these

13. A work is started by a man and it is assumed that he will finish the work in 11 days if working alone. Each subsequent day a new man joined the work. In how many days the four times the original work will be completed, if after the 8th day from the starting of the work no new man will be further added?
A. 11 B. 10 C. 9 D. 8 E. None of these

14. 20 men, 12 women and 18 boys were given a project of doing 3960 designs of a building in 5 days. The ratio of the number of designs made by them respectively in 1 day is 3 : 2 : 1. If on the 1st day all of them worked, on the 2nd day 4 women and 6 boys went absent and on the 3rd day, 6 men and 10 boys went absent but still the work got finished on the 3rd day. Then find the number of designs designed by them on the 3rd
day?
A. 1021 B. 1110 C. 1621 D. 1210 E. None of these