A and B can do a work in 60 days and 75 days respectively. Both A and B work together for 10 days. After that, B leaves the work but A continues. Then after 6 days, C also joins. After 24 days, the work is completed. How much time will C alone take to complete the work?

130 days
120 days
122 days
125 days

Correct answer: 120 days

Solution

A’s rate is 1/60 and B’s rate is 1/75. Using the given sequence of work periods, the remaining work done by C can be found from the total work equation, which gives C’s rate as 1/120 per day.

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