Time and Work
- 25 men reap a field in 20 days. When should 15 men leave the work, if the whole field is to be reaped in 371/2 day after they leave the work ?
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25 men reap the field in 20 days
∴ 10 men can reap the feild in (20 x 25)/ 10 = 50 days.
When 15 men leave the work, 10 men remain and they can reap in 371/2 days
= (371/2)/ 50 = 3/4 of the fieldCorrect Option: C
25 men reap the field in 20 days
∴ 10 men can reap the feild in (20 x 25)/ 10 = 50 days.
When 15 men leave the work, 10 men remain and they can reap in 371/2 days
= (371/2)/ 50 = 3/4 of the field
Hence, all men must work till (1 - 3/4) = 1/4 of the field is reaped in 20/4 = 5 days.
- A can do a piece of work in 5 hours, B in 9 hours and C in 15 hours. If C could work with them for 1 hour only the time taken by A and B together to complete the work is ?
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∵ (1/5 + 1/9 + 1/15) = 17/45 work is finished in 1 hour
∴ Remaining work = 1 - 17/45 = 28/45
⇒ (A + B)'s 1 hour's work = 1/5 + 1/9 = 14/45Correct Option: A
∵ (1/5 + 1/9 + 1/15) = 17/45 work is finished in 1 hour
∴ Remaining work = 1 - 17/45 = 28/45
⇒ (A + B)'s 1 hour's work = 1/5 + 1/9 = 14/45
14/45 work is done by (A and B) in 1 hour
28/45 work will be done by A and B in (45/14) x (28/45) = 2 hours
- A can do a piece of work in 24 days while B alone can do it in 16 days. But with the help of C, they finish the work in 8 days. C alone can do the work in ?
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∵ C's 1 day's work
= [( A + B + C)'s 1 day's work] - [(A + B)'s 1 day's work]
= [1/8 - (1/24 + 1/16)] = (1/8 - 5/48) = 1/48Correct Option: D
∵ C's 1 day's work
= [( A + B + C)'s 1 day's work] - [(A + B)'s 1 day's work]
= [1/8 - (1/24 + 1/16)] = (1/8 - 5/48) = 1/48
∴ C alone can do it in 48 days.
- A can do a certain job in 10 days. B is 60% more efficient than A. The number of days, it takes B to do the same piece of work is ?
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1 day work of A = 1/10 = 0.1
1 day work of B = 1/10 + 60% of 1/10 = 0.1 + 0.06 = 0.16Correct Option: C
1 day work of A = 1/10 = 0.1
1 day work of B = 1/10 + 60% of 1/10 = 0.1 + 0.06 = 0.16
So number of days taken by B to complete the work = 1/0.16
= 62/3
- A, B and C together earn Rs. 150 per day while A and C together earn Rs. 94 and B and C together earn Rs. 76. The daily earning of C is ?
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∵ B's daily earning = Rs. (150 - 94) = Rs. 56
⇒ A's daily earning = Rs. (150 - 76) = Rs. 74Correct Option: D
∵ B's daily earning = Rs. (150 - 94) = Rs. 56
⇒ A's daily earning = Rs. (150 - 76) = Rs. 74
∴ C's daily earning = Rs. [(150 - (56 + 74)] = Rs. 20