Time and Work
Time and Work - Important Points
| 11. | Akrit and Billy can do a piece of work in 72 days. Billy and Chanu can do it in 120 days. Akrit and Chanu can do it in 90 days. In what time can Akrit alone do it? |
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A. 90 days
B. 100 days
C. 120 days
D. 150 days
View Answer Discuss Work SpaceAnswer: option c
Explanation:
Let total work = LCM (72,120,90) = 360 unit
In 1 day, Akrit and Billy does 5 unit work.
In 1 day, Billy and Chanu does 3 unit work.
In 1 day, Akrit and Chanu does 4 unit work.
Adding the above 3, In 1 day, A, B and C does (5 + 4 + 3)/2 = 6 unit work.
In 1 day, Akrit does (6 - 3) = 3 unit
Akrit alone can complete the work in = 360/3 = 120 days
| 12. | Advert and Bill can together finish a work in 30 days. They worked together for 20 days and then Bill left. After another 20 days, Advert finished the remaining work. In how many days Advert alone can finish the work? |
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A. 40
B. 45
C. 54
D. 60
View Answer Discuss Work SpaceAnswer: option d
Explanation:
Let total work = LCM (72,120,90) = 360 unit
In 1 day, Akrit and Billy does 5 unit work.
In 1 day, Billy and Chanu does 3 unit work.
In 1 day, Akrit and Chanu does 4 unit work.
Adding the above 3, In 1 day, A, B and C does (5 + 4 + 3)/2 = 6 unit work.
In 1 day, Akrit does (6 - 3) = 3 unit
Akrit alone can complete the work in = 360/3 = 120 days
| 13. | Avil and Bimal together can complete a piece of work in 8 days while Bimal and Chandan together can do it in 12 days. All the three together can complete the work in 6 days. In how much time will Avil and Chandan together complete the work? |
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A. 8 days
B. 10 days
C. 12 days
D. 15 days
View Answer Discuss Work SpaceAnswer: option a
Explanation:
Let total work = LCM (8,12,6) = 24 unit
In 1 day, Avil and Bimal does 3 unit work.
In 1 day, Bimal and Chandan does 2 unit work.
In 1 day, All of three does 4 unit work.
In 1 day, Avil does (4 - 2) = 2 unit work.
In 1 day, Chandan does (4 - 3) = 1 unit work.
In 1 day, Avil and Chandan does (2 + 1) unit work.
Time taken by Avil and Chandan to complete it = 24/3 = 8 days
| 14. | A alone can do a piece of work in 3 days while B alone can do the same work in 2 days. If they work together to complete the work, their total wages is fixed Rs. 450. Find the share of A. |
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A. Rs. 180
B. Rs. 150
C. Rs. 190
D. Rs. 140
View Answer Discuss Work SpaceAnswer: option a
Explanation:
Let total work = LCM (3,2) = 6 unit
In 1 day, A does 2 unit work.
In 1 day, B does 3 unit work.
Ratio of wages distribution = Ratio of efficiency = 2 : 3
A' s share = (2/5) x 450 = 180
| 15. | Aria and Bhuvan undertook to do a piece of work for Rs. 4500. Aria alone could do it in 8 days while Bhuvan alone in 12 days. With the assistance of Charan, they finished the work in 4 days. Charan’s share of money is: |
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A. Rs. 375
B. Rs. 750
C. Rs. 1500
D. Rs. 2250
View Answer Discuss Work SpaceAnswer: option b
Explanation:
Let total work = LCM (8,12,4) = 24 unit
In 1 day, Aria does 3 unit work.
In 1 day, Bhuvan does 2 unit work.
In 1 day, all does 6 unit work.
In 1 day, Charan alone does (6 - 3 - 2) = 1 unit work.
Ratio of wages distribution = Ratio of efficiency = 3 : 2 : 1
Charan's share = (1/6) x 4500 = 750
Time and Work Questions and Answers FAQ
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