A can do a piece of work in 32 days and B in 48 days. They work together for 8 days and then A goes away. In how much time (in days) will B finish the 60% of the remaining work?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. .
A in 32 days, B in 48 days , so LCM = 96 units (total work)
A’s efficiency = 96 ÷ 32 = 3, B’s efficiency = 96 ÷ 48 = 2
Together for 8 days = 5 × 8 = 40 units done
Remaining = 96 − 40 = 56 units
60% of remaining = 56 × 60% = 33.6 units
B alone: 33.6 ÷ 2 = 16.8 days =