Question

if A can do work in 27days and B can 32 days both will work together in how many days both can complete?

Answer 1

if A completes work in 27 days and B complete work in 32 days.
And if they works together there work get half therefore A=27÷2, B=32÷2
A=13.5,B=16
:. A+B=13.5+16=29.5
:. the both complete work in 27 and half day

Answer 2

A can do one work in 27 days
so 1 day work is 1/27
B can do same work in 32 days
so 1 day work for B is 1/32
Hence 1 day work for both A and B is 1/27+1/32 =59/864
Thus total number of days taken by both to complete work is
=864/59
~14.644 days
~15 days