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Four boys and ten girls can cut a field in 5 hours if the bo...

Four boys and ten girls can cut a field in 5 hours if the boys work at 54 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 answer is D

Let x represents number of boys that can work at 54 the rate at which the 10 girls work

For 1hr. x boys will work for 154 x 10

x = 45 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, 12×53 boys will be needed = 20 boys