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A can do 1/5th of a work in 8 days and the remaining work is completed by B in 24 days. If A and B together work for 6 days, then find the p
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A can do 1/5th of a work in 8 days and the remaining work is completed by B in 24 days. If A and B together work for 6 days, then find the part of work will be completed in 6 days?

A.

1/4

B.

11/20

C.

9/20

D.

7/20

E.

3/5

Correct option is D

Total time taken by A to complete the whole work = 8×5/1=40 days
Total time taken by B to complete the whole work = 24 ×5/4=30 days
Let total work = 120 unit (LCM of 40 & 30)
Efficiency of A = 120/40 = 3 unit/day
Efficiency of B = 120/30 = 4 unit/day
Required answer =

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