Hello,

The efficiencies of work done by A and B are in the ratio 3 : 2

So, the work done by A in x days will be 5x / 3

and the work done by B in x days will be 5x / 2

Given that A and B together complete the work in 30 days.

The efficiency of A to that of B is in the ratio 3:2, that means A is the fastest person.

So, as concluded above, A can complete the work in 5x / 3 days

For 30 days, x = 30

So, A can complete the work in 5 x 30 / 3 days

So, A can complete the work in 50 days.

So, In 50 days, the faster person can complete the job.

Best Wishes.