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A and B can do a piece of work in 10 days. B and C can do it in 12 days; C and A in 15 days. In how many days will C finish it alone?

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A and B can do a piece of work in 10 days. B and C can do it in 12 days; C and A in 15 days. In how many days will C finish it alone?
1). 24 days
2). 30 days
3). 40 days
4). 60 days


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1 answers

3 vote
Answered by on | Votes 3 |

Given,

⇒ A + B = 1/10

⇒ B + C = 1/12

⇒ A + C = 1/15

Adding above equations,

⇒ 2(A + B + C) = (1/10) + (1/12) + (1/15)

⇒ A + B + C = 1/8

C's 1 day’s work =

= (A + B + C)’s 1 day’s work – (A + B)’s 1 day’s work

= 1/8 – 1/10

= 1/40

∴ C alone can complete the work in 40 days.

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