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.
Please share this, thanks:
Add your answer
No responses