Question
Anurag can finish a task in 60 days, while Bhuvan can
complete the same task in 80 days. Anurag begins working alone, and after 39 days, Bhuvan joins him. How many more days will Anurag and Bhuvan take together to complete the remaining work?Solution
ATQ;
Let the total amount of the work = 240 units (LCM of 60 and 80)
Anurag’s efficiency = 240/60 = 4 units per day
Bhuvan’s efficiency = 240/80 = 3 units per day
Amount of the work done by A in 39 days = 39 × 4 = 156 units
Remaining amount of the work = 240 – 156 = 84 units
Remaining amount of the work done by Anurag and Bhuvan together = 84/7 = 12 days
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