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Practice Problems [Quiz] – Time and Work

Q.1:

A can do a bit of work in 8 days, which B alone can do in 10 days . In how long both cooperating can do it ?

A) 40/9 days B) 41/9 days
C) 42/9 days D) 43/9 days
Answer & Explanation
Q.2:

A can do a piece of work in 10 days, and B can do the same work in 20 days. With the help of C, they finished the work in 4 days. C can do the work in how many days, working alone?.

A) 5 days B) 10 days
C) 15 days D) 20 days
Answer & Explanation
Q.3:

A can do a piece of work in 12 days. B can do this work in 16 days. A started the work alone. After how many days should B join him, so that the work is finished in 9 days?

A) 2 days B) 3 days
C) 4 days D) 5 days
Answer & Explanation
Q.4:

A and B can do a piece of work in 4 days, while C and D can do the same work in 12 days. In how many days will A, B, C and D do it together?

A) 12 days B) 4 days
C) 3 days D) 2 days
Answer & Explanation
Q.5:

A and B can do a piece of work in 40 days, B and C can do it in 120 days. If B alone can do it in 180 days, in how many days will A and C do it together?

A) 45 days B) 22.5 days
C) 25 days D) 18 days
Answer & Explanation
Q.6:

A, B, C, and D can do a piece of work in 20 days. If A and B can do it together in 50 days, and C alone in 60 days, find the time in which D alone can do it.

A) 120 days B) 200 days
C) 150 days D) 75 day
Answer & Explanation
Q.7:

A, B, and C can do a piece of work in 8 days. B and C together do it in 24 days. B alone can do it in 40 days. In what time will it be done by C working alone?

A) 25 days B) 24 days
C) 60 days D) 20 days
Answer & Explanation
Q.8:

A and B undertake to do a piece of work for Rs. 450. A can do it in 20 days and B can do it in 40 days. With the help of C, they finish it in 8 days. How much should C be paid for his contribution?

A) Rs. 180 B) Rs. 40
C) Rs. 120 D) Rs. 60
Answer & Explanation
Q.9:

Daku and Tamatar can do a piece of work in 70 and 60 days respectively. They began the work together, but Daku leaves after some days and Tamatar finished the remaining work in 47 days. After how many days did Daku leave?

A) 14 days B) 16 days
C) 18 days D) 7 days
Answer & Explanation
Q.10:

Ajay and Vijay undertake to do a piece of work for Rs. 480. Ajay alone can do it in 75 days while Vijay alone can do it in 40 days. With the help of Pradeep, they finish the work in 25 days. How much should Pradeep get for his work?

A) Rs. 40 B) Rs. 20
C) Rs. 360 D) Rs. 100
Answer & Explanation
Q.1:

A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?

A) 11 days B) 12 days
C) 13 days D) 14 days
Answer & Explanation
Q.2:

A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs):

A) 200, 250, 300 B) 300, 200, 250
C) 200, 300, 400 D) None of these
Answer & Explanation
Q.3:

P can complete a work in 12 days working 8 hours a day.Q can complete the same work in 8 days working 10 hours a day. If both p and Q work together,working 8 hours a day,in how many days can they complete the work?

A) 60/11 B) 61/11
C) 71/11 D) 72/11
Answer & Explanation
Q.4:

12 men can complete a work in 8 days. 16 women can complete the same work in 12 days. 8 men and 8 women started working and worked for 6 days. How many more men are to be added to complete the remaining work in 1 day?

A) 8 B) 12
C) 16 D) 24
Answer & Explanation
Q.5:

An air conditioner can cool the hall in 40 miutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance then how long will it take to cool the room approximately ?

A) 18 minutes B) 19 minutes
C) 22 minutes D) 24 minutes
Answer & Explanation
Q.6:

Relation Between Efficiency and Time
A is twice as good a workman as B and is therefore able to finish a piece of work in 30 days less than B.In how many days they can complee the whole work; working together?

A) 10 days B) 15 days
C) 20 days D) 25 days
Answer & Explanation
Q.7:

A,B,C together can do a piece of work in 10 days.All the three started workingat it together and after 4 days,A left.Then,B and C together completed the work in 10 more days.In how many days can complete a work alone ?

A) 25 B) 24
C) 23 D) 21
Answer & Explanation
Q.8:

3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?

A) 6 B) 9
C) 5 D) 7
Answer & Explanation
Q.9:

4 men can repair a road in 7 hours. How many men are required to repair the road in 2 hours ?

A) 17 men B) 14 men
C) 13 men D) 16 men
Answer & Explanation
Q.10:

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days what is time taken by 15 men and 20 boys?

A) 4 days B) 6 days
C) 7 days D) 5 days
Answer & Explanation
Q.1:

A is thrice efficient as B and C is twice as efficient as B. what is the ratio of number of days taken by A,B and C, when they work individually?

A) 2:6:3 B) 2:3:6
C) 1:2:3 D) 3:1:2
Answer & Explanation
Q.2:

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days ?

A) 9 days B) 11 days
C) 13 days D) 15 days
Answer & Explanation
Q.3:

A and B can do a piece of work in 40 and 50 days. If they work at it an alternate days with A beginning in how many days, the work will be finished ?

A) 47⅓ B) 40⅗
C) 44⅖ D) 42⅚
Answer & Explanation
Q.4:

A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in ?

A) 17 + 4/7 days B) 13 + 1/3 days
C) 15 + 3/2 days D) 16 days
Answer & Explanation
Q.5:

A and B together can do a piece of work in 40 days. A having worked for 20 days, B finishes the remaining work alone in 60 days. In How many days shall B finish the whole work alone?

A) 60 B) 70
C) 80 D) 90
Answer & Explanation
Q.6:

A is twice efficient as B and together they do the same work in as much time as C and D together. If C and D can complete the work in 20 and 30 daysrespectively, working alone ,then in how many days A can complete the work individually:

A) 12 days A) 12 days
C) 24 days D) 30 days
Answer & Explanation
Q.7:

A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in 55% of the time. How many workers were there in the group ?

A) 50 B) 40
C) 45 D) 10
Answer & Explanation
Q.8:

A can finish a work in 18 days and B can do the same work in half the time taken by A. then, working together, what part of the same work they can finish in a day ?

A) Total work B) One-fourth work
C) Half work D) Two-third work
Answer & Explanation
Q.9:

9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days ?

A) 15 days B) 11 days
C) 14 days D) 12 days
Answer & Explanation
Q.10:

300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : C. Find the number of coins of each type.

A) 100, 80, 120 B) 80, 90, 100
C) 100, 100, 80 D) 60, 80, 100
Answer & Explanation

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