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Question

# Question 59. 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

(a) 15 days

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B

(b) 20 days

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C
(c) 25 days
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D
(d) 30 days
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Solution

## The correct option is C (c) 25 days Answer 59.(c) Explanation: (A + B)'s 1 day's work = 1/10 C's 1 day's work = 1/50 (A + B + C)'s 1 day's work =(1/10 + 1/50)= 6/50 = 3/25 . .... (i) A's 1 day's work = (B + C)'s 1 day's work .... (ii) From (i) and (ii), we get: 2 x (A's 1 day's work) = 3/25 A's 1 day's work = 3/50. B's 1 day's work 1/10 - 3/50 = 2/50 = 1/25 . So, B alone could do the work in 25 days.

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