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Four boys and ten girls can cut a field first i... - JAMB Mathematics 2020 Question

Four boys and ten girls can cut a field first 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? 

A

180

B

60

C

25

D

20

correct option: d

Let x = numbers of boys that can work at \(\frac{5}{4}\) the rate as 10 girls 

Then,

1 hrs, x boys will work for \(\frac{\frac{1}{5} \times 10}{4}\) 

x = \(\frac{5}{4}\) x 10 

= 8 boys 

This means that 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, 

\(\frac{12 \times 5}{3}\) boys will be needed

= 20 boys.

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