P can complete five-eighths of a work in 10 days and Q can complete three-fourths of the same work in 9 days. They worked together for 4 days and then P left. How much time will Q working alone, take to complete the remaining work?
Answer & explanation
Correct answer: option 3
If P completes five - eighths of the work in 10 days,
Then time taken to complete the total work = 16 days (Apply Unitary Method)
Similarly,
If Q completes three - fourths of the work in 9 days,
Then time taken to complete the total work = 12 days
Total work = 48
Work completed in 4 days = Efficiency x No. Of Days = (3 + 4) x 4 = 7 x 4 = 28
Work left = 48 - 28 = 20
This work will be done by Q alone in = \(\frac{20}{4}\) = 5 days