Question

A and B working together plough a field in 6 days. if A alone can plough the same in 8 days. how long would B take to plough the field.

Answer 1

In 6 days A and B together can plough 1 field
In 1 day A and B together can plough 1/6 field

In 8 days A alone can plough 1 field
In 1 day A alone can plough 1/8 field

Thus in 1 day B alone can plough 1/6-1/8 field
=4-3/24=1/24
So in 1 day B alone can plough 1/24
1/24 field is plough by B in 1day
1 field is plough by B in 1/1/24=24×1/1=24 days
Therefore B can alone plough 1field in 24 days