Multiple choice

Mohan can complete a work in 25 days. He worked for 5 days and left the work; and then Bhim completed the remaining work in 30 days. Had Bhim started the work and left it after 15 days. how much more time would Mohan have taken to complete the remaining work ?

  1. 7.5 days

  2. 11.5 days

  3. 12 days

  4. 15 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Mohan's rate is 1/25 per day. In 5 days he completes 5/25 = 1/5 of work. Remaining 4/5 is done by Bhim in 30 days, so Bhim's rate is (4/5)/30 = 2/75 per day. If Bhim works 15 days first, he completes 30/75 = 2/5. Remaining 3/5 at Mohan's rate (1/25) takes (3/5)/(1/25) = 15 days. Option D is correct.

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