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?

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