# If A and B together complete a work in 20 days. If A alone completes the work in 24 days

If A and B together complete a work in 20 days. If A alone completes the work in 24 days, then B alone completes the work in

A. 14 days

B. 44 days

C. 120 days

D. 48 days

**Answer: (C) 120 days **

**Solution:-**

A and B together complete a work = 20 days

Therefore, A and B can work in a day = 1/20

A alone completes the work = 24 days

Therefore, A alone can work in a day = 1/24

B alone can work in a day = 1/20 – 1/24

= (6 – 5)/120

= 1/120

Then, B alone completes the work in 120 days.

Hence, the correct answer is option (C) 120 days.