Question
35% of the work done by Sunil in 8 days is equal to 70% of the work done by Raj in 3 days. If Sunil alone can do the work in 24 days, find the number of days Raj would need to finish the work.
Solution
ATQ,
Let the efficiency of Sunil and Raj be 'x' units/day and 'y' units/day respectively.
So, 0.35 × x × 8 = 0.7 × y × 3
So, x = (21/8) × y
Total work = 24 × x = 24x units
Time taken by Raj to complete the work:
= (24x / y) = {24 × (21/8) y} ÷ y = 63 days
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