Question

A and B can complete a work in 36 days and 45 days respectively. They worked together for 2 days and then A left the work. In how many days will B complete the remaining work?

• A. 41.5
• B. 40
• C. 41
• D. 40.5

Answer 1

Answer:

D. 40.5

A can do the work = 36 days B can do the same work = 45 days LCM of 36 and 45 Total work = LCM of 36 and 45 = 180 Efficiency of A = Total work / Efficiency = 180/36 = 5 Efficiency of B = Total work / Efficiency = 180/45 = 4 Efficiency of A + Efficiency of B = 4 + 5 = 9 Work completed in 2 days = 9 × 2 = 18 Remaining work = 180 - 18 = 162 A left, and the remaining work is completed by B Time was taken by B to complete the work = 162 / 4 = 40.5 days