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6 men and 8 boys finish a job in 10 days; 26 men and 48 boys finish it in 2 days. How long will 15 men and 20 boys take?

Competition practiceTime & Work / Pipes

A5 days
B6 days
C3 days
D4 days

Step-by-Step Solution

6 m + 8 b = \frac{1}{10}, 26 m + 48 b = \frac{1}{2}

. From these

m = \frac{1}{100}, b = \frac{1}{200} . \frac{15}{100} + \frac{20}{200} = \frac{1}{4}

.

Answer: D) 4 days

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