Question
Amit and Ankit can complete a job in 60 days. Working
together with Sumit, they can finish it in 40 days. How many days would Sumit alone take to complete the work?Solution
ATQ,
Let the total work be 120 units. (LCM of 60 and 40)
So, combined efficiency of Amit and Ankit = 120 ÷ 60 = 2 units/day
And efficiency of Amit, Ankit and Sumit = 120 ÷ 40 = 3 units/day
So, efficiency of Sumit = 3 – 2 = 1 unit/day
So, required time = 120 ÷ 1 = 120 days
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