A’s 2 days work is equal to B’s 3 days work. If A can complete the work in 8 days, then to complete the work B will take:

Explanation:

According to the question,

2A = 3B

A\B=3\2

Then efficiency ratio A:B=3:2

We know that time is inversely preportional to efficiency

Then time taken by them in ratio

∴A can do the work in 8 days

=i.e 2 units → 8

1 unit → 4

= time taken by B → 3 units

= 3×4=12 days