Question

3 boys or 5 girls can clean a compound in 8
hours. In how many hours will 2 boys and 2
girls clean the same compound ?​

Answer 1

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Given that 3 boys take 8 hours to clean a compound, 2 boys will take (3/2)*8= 12 hours, where the 2 boys will clean at a rate of 2/12 / hour.

Given that 5 girls take 8 hours to clean a compound, 2 girls will take (5/2)*8=20 hours, where the 2 girls will clean at a rate of 2/20 / hour.

Combining them, the rate which they will clean at is = (1/6 + 1/10) = 4/15 / hour.

Total time required = 1/(4/15) = 3.75 hours.