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Four boys and ten girls can cut a field first in 5 hours. If...

Four boys and ten girls can cut a field first 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 rep. numbers of boys that can work at 54 the rate at

 which the 10 girls work 

For 1 hrs, x boys will work for 15×104 

x = 54 x 10 

= 8 boys 

8 boys will do the work of ten girls at the same rate 

4 + 8 = 12 bous cut the field in 5 hrs for 3 hrs, 

12×53 boys will be needed = 20 boys.