Aman can do 50% of the job in 16 days, and Bhanu can do 25% of the job in 24 days. In how many days can they do $\frac{1}{4}^{\text {th}}$ of the job working together?

6 days

Aman completes 50% (1/2) in 16 days

Aman's Time for completing the Job = 2 × 16 = 32 days

Aman's one day work = 1/32

Bhanu completes 25% (1/4) in 24 days

Bhanu's Time for completing the Job = 4 × 24 = 96 days

Bhanu's one day work = 1/96

If they work together, one day work = (1/32) + (1/96) = 1/24

In order to complete the work together, time required = 24 days

In order to complete 1/4 th of the work, time required = 6 days

The correct answer is Option (1) → 6 days