Question
'Ankit', 'Manish', and 'Tarun' together can complete a work
in 25 days. 'Ankit' and 'Manish' together can complete the same work in 75 days. 'Tarun' alone can finish the same work in how many days?Solution
ATQ,
Let the total work = 75 units (LCM of 25 and 75)
Combined efficiency of 'Ankit' and 'Manish' = (75/75) = 1 unit/day
Combined efficiency of 'Ankit', 'Manish', and 'Tarun' = (75/25) = 3 units/day
Efficiency of 'Tarun' = 3 - 1 = 2 units/day
Time taken by 'Tarun' to complete the work alone = (75/2) = 37.5 days
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