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If 14 men and 12 boys can finish work in 4 days, while 8 men and 16 boys can finish the same work in 5 days. Compare the 1 days work of 1 man and 1 boy.

Q: If 14 men and 12 boys can finish work in 4 days, while 8 men and 16 boys can finish the same work in 5 days. Compare the 1 days work of 1 man and 1 boy.

Here, a1 = 14, b1 = 12, p = 4, a2 = 8, b2 = 16 and q = 5 One days work of 1 man/One days of 1 boy = (qb2 - pb1) / ( pa1 - qa2) = [5 x 16 - 4 x 12] / [ 4 x 14 - 5 x 8] = (80 - 48) / (56 - 40) = 32/16 = 2

2
11/2
1/2
3

Correct Answer: 2

Explanation:

Here, a₁ = 14, b₁ = 12, p = 4, a₂ = 8, b₂ = 16 and q = 5
One days work of 1 man/One days of 1 boy
= (qb₂ - pb₁) / ( pa₁ - qa₂)
= [5 x 16 - 4 x 12] / [ 4 x 14 - 5 x 8]
= (80 - 48) / (56 - 40)
= 32/16
= 2

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