Question
Ravi and Sanjay take 54 days to build a fence. When they
work along with Rahul, the work gets done in 36 days. Find the time Rahul alone would take to build the fence.Solution
ATQ,
Let the total work be 108 units. (LCM of 54 and 36)
So, combined efficiency of Ravi and Sanjay = 108 ÷ 54 = 2 units/day
And efficiency of Ravi, Sanjay and Rahul = 108 ÷ 36 = 3 units/day
So, efficiency of Rahul = 3 – 2 = 1 unit/day
So, required time = 108 ÷ 1 = 108 days
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