Question

A alone can complete a piece of work in 8days.wprk done by b alone in one day is half of the work done by a alone in one day.in how many days can the work be completed,if a and b work together?

Answer 1

According to the question :

A alone can do the work in 8days

A alone can do the work in one day =1 / 8

Now B alone does half of the work done by A alone in one day.

So Work done by B alone in one day = 1/8 ÷ 2
= 1/8 × 1/2 = 1/16

Let the No. of days in which they can do the work together be x

= 1/8 + 1/16 = 1/x

L.C.M = 16

2 + 1 / 16 = 1 / x
3 / 16 = 1 / x
3x = 16
x = 16/3

So they can together complete the work in 16/3 days .


Hope it helps buddy.