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Manish alone can complete a work in 48 days and Pratap alone can complete the same work in half of the time taken by Manish. In how many days will bot
Question

Manish alone can complete a work in 48 days and Pratap alone can complete the same work in half of the time taken by Manish. In how many days will both together complete 1/4 part of the total work?

A.

5 days

B.

4.5 days

C.

6 days

D.

4 days

Correct option is D

Given:
Manish can complete the work in 48 days.
Pratap can complete the same work in half of Manish's time, i.e., 24 days.
Formula Used:
Work done together per day = (1/Manish's time) + (1/Pratap's time)
Total time taken to complete a fraction of the work = Fraction of work / Work done per day
Solution:
Work done by Manish in 1 day = 1/48
Work done by Pratap in 1 day = 1/24
Work done by both together in 1 day = (1/48) + (1/24) = 1/16
Time taken to complete 1/4 of the work = (1/4) / (1/16) = 4 days

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