To do a certain work, Ajay and Bharat work on alternate days, with Bharat starting the work on the first day. Ajay can finish the work alone in 32 days. If the work gets completed in exactly 8 days, then Bharat alone can finish 7 times the same work in _______ days.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 32
Given that
Ajay can finish the work alone in 32 days
Ajay and Bharat work on alternate days, with Bharat starting the work on the first day.
If the work gets completed in exactly 8 days
So, Ajay worked for 4 days exactly and Bharat also worked for 4 days exactly
If Ajay's 4 days work = 4/32 = 1/8
The remaining work = 1 - 1/8 = 7/8
This remaining work (7/8) is done by Bharat in = 4 days
Bharat completes whole work in = 4/(7/8) = 32/7
Hence, Bharat alone completes the 7 times of the same work in = (32/7) × 7 = 32 days