Sunita completes 3/5 of the work in 25 days, and Babita completes 3/5 of the work in 9 days. Sunita, Babita, and Kavita together complete the whole work in 12 days. Find the time taken by Kavita alone to complete 3/5 of the work.

25 days
24 days
30 days
20 days

Correct answer: 25 days

Solution

Sunita’s full-work time is 25 d7 5/3 = 125/3 days, so her rate is 3/125 per day. Babita’s full-work time is 9 d7 5/3 = 15 days, so her rate is 1/15 per day. Using the combined rate for 12 days, Kavita’s rate is found, which gives 25 days for 3/5 of the work.

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