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Question

68. A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:


A

(a) 9 1/5 days

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B

(b) 9 2/5 days

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C

(c) 9 3/5 days

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D
(d) 10 days
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Solution

The correct option is C

(c) 9 3/5 days


Ans68.(c)
Explanation:
(A+B+C)’s 1 day’s work = 1/4
A’s 1 day’s work 1/16
B’s 1 day’s work 1/12
C’s 1 day’s work = 1/4*(1/16+1/12)=(1/4-7/48)=5/48
So, C alone alone can do the work in 48/5=9(3/5) days

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