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Time and Work

Q1: 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
9 1 days
5

B
9 2 days
5

C
9 3 days
5

D 10

ANS:C -

9 3 days
5

(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
Therefore C's 1 day's work = 1 - ( 1 + 1 ) = ( 1 - 7 ) = 5 .
4 16 12 4 48 48
So, C alone can do the work in 48 = 9 3 days.
5 5



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