Question
25% of the work done by Arjun in 6 days equals 50% of
the work done by Karan in 3 days. If Arjun alone finishes the full work in 24 days, find the time Karan would take to complete the entire work alone.Solution
ATQ,
Let the efficiency of Arjun and Karan be x units/day and y units/day respectively.
So,
0.25 × x × 6 = 0.5 × y × 3
⇒ x = (3/1) × y
Total work = 24 × x = 24x units
Time taken by Karan = Total work / y = (24x) / y = (24 × 3y) / y = 72 days
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