Arithmetic Ability
Time and Work

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Q.

A and B can do a piece of work in 30 days , while B and C can do the same work in 24 days and C and A in 20 days . They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

View Answer

Correct choice: A

Explanation:

2(A+B+C)'s 1 day work = 1/30 + 1/24 + 1/20 = 1/8 =>(A+B+C)'s 1 day's work= 1/16 work done by A,B and C in 10 days=10/16 = 5/8 Remaining work= 3/8 A's 1 day's work= (1/16−1/24)=/148 Now, 1/48 work is done by A in 1 day. So, 3/8 work wil be done by A in =48 x (3/8) = 18 days
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