P can do a piece of work in 48 days, and Q can do half of the same work in 30 days. If they both work together, in how many days can they complete three-eighths of the work?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 10.
Time taken by P to complete the whole work = 48 days
Time taken by Q to complete the whole work = 30 × 2 = 60 days
LCM(48, 60) = 240
The efficiency of P = 240/48 = 5 units
The efficiency of Q = 240/60 = 4 units
Time taken by both to complete three-eighths of the whole work = = = 10 days