Question
Ritu completes 50% of a project in 25 days, while Sheetal
completes 40% in 32 days. Ritu works for 30 days and then stops. Find the time Sheetal needs to finish the pending work.Solution
ATQ,
Time taken by Ritu to complete whole work = (25 / 0.50) = 50 days
Time taken by Sheetal to complete whole work = (32 / 0.40) = 80 days
Let the total work be 400 units (LCM of 50 and 80)
Efficiency of Ritu = (400 / 50) = 8 units/day
Efficiency of Sheetal = (400 / 80) = 5 units/day
Work completed by Ritu in 30 days = 30 × 8 = 240 units
Remaining work = 400 - 240 = 160 units
Therefore, required time = (160 / 5) = 32 days
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