A and B can complete a work in 6 days A working alone can complete the same work in 9 days In how ma...........

Quantitative Aptitude(IBPS RRB PO) Time and work

A and B can complete a work in 6 days. A, working alone can complete the same work in 9 days. In how many days, B alone can complete the 3/8 of the work?

25/4

27/4

13/2

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Explanation:

Let the total work = 18 units (LCM of 6 and 9)
Efficiency of A and B together =18/6 = 3
Efficiency of A alone =18/9 = 2
Efficiency of B alone = Efficiency of A and B together – Efficiency of A alone = 3 – 2 = 1
Hence, the required number of days=(3/8 x18)/1=27/4