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Question

A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:


A

15 days

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B

20 days

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C

25 days

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D

30 days

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E

35 days

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Solution

The correct option is C

25 days


(A+B)’s 1 day’s work = 110 ; C’s 1 day’s work = 150.

(A+B+C)’s 1 day’s work =(110+150)=650=325 ……… (i)

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

From (i) and (ii), we get: 2 × (A’s 1 day’s work) = 325

⇒ A’s 1 day’s work = 350;

∴ B’s 1 day’s work =(110350)=250=125

So, B alone could do the work in 25 days.


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