Four boys and ten girls can cut a field in 5 hours if the boys work at \( \frac{5}{4} \) the rate at which the girls work. How many boys will be needed to c...

Assessment: JAMB UTME - Mathematics - 1987 Subject: General Mathematics

Question 1 Report

Four boys and ten girls can cut a field in 5 hours if the boys work at \( \frac{5}{4} \) the rate at which the girls work. How many boys will be needed to cut the field in 3 hours?

Answer Details
Let x represents number of boys that can work at  5 4  the rate at which the 10 girls work
For 1hr. x boys will work for  1 5 4  x 10
x =  4 5  x 10 = 8 boys
8 boys will do the work of ten girls at the same rate 4 + 8 = 12 boys cut the field in 5 hrs
For 3 hrs,  12 × 5 3  boys will be needed = 20 boys

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