Question
Vikas does 65% of a job in 39 days, while Suman does 40% in
40 days. Vikas worked for 18 days and left. Calculate how many days Suman would need to wrap up the remaining task.Solution
ATQ,
Vikas’ full-time = 39 / 0.65 = 60 days
Suman’s full-time = 40 / 0.40 = 100 days
Total work = LCM(60, 100) = 300 units
Vikas’ efficiency = 300 / 60 = 5 units/day
Suman’s efficiency = 300 / 100 = 3 units/day
Work done by Vikas = 18 × 5 = 90 units
Remaining work = 300 - 90 = 210 units
Time by Suman = 210 / 3 = 70 days
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