Question
Anu can finish 25% of an assignment in 10 days, whereas
Tanya can do 30% in 12 days. Anu works on it for 16 days and leaves. How long will Tanya take to wrap up the remaining work?Solution
ATQ,
Time taken by Anu to complete whole work = (10 / 0.25) = 40 days
Time taken by Tanya to complete whole work = (12 / 0.30) = 40 days
Let the total work be 120 units (LCM of 40 and 40)
Efficiency of Anu = (120 / 40) = 3 units/day
Efficiency of Tanya = (120 / 40) = 3 units/day
Work completed by Anu in 16 days = 16 × 3 = 48 units
Remaining work = 120 - 48 = 72 units
Therefore, required time = (72 / 3) = 24 days
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