1.

A does 50% of a work in 12 days. He then calls in B and they together finish the remaining work in 8 days. How long B alone would take to complete the whole work?1). 12 days2). 24 days3). 36 days4). 48 days

Answer»

A does 50% of a WORK in 12 days.

So, the part of work DONE A in 1 day = (1/2)/12 = 1/24

Remaining part of work = 1 – ½ = ½

The part of work done by A in 8 days = 8 × (1/24) = 1/3

So, B does (1/2) – (1/3) = 1/6 part of the work in 8 days.

So, the part of work done by B in 1 day = (1/6)/8 = 1/48

∴ B would ALONE COMPLETE the work in 48 days.


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