Four boys and ten girls can complete a particular task in 5hrs.
If each boy works at 54 of the rate at which each girl works, how
many boys will be needed to perform the same task in 3hrs?.
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Four boys and ten girls can cut a field in 5 hours. If the boys work at 1/4 the rate at which the girls work, how many boys will be needed to cut the field in 3 hours?
“Four boys and ten girls can cut a field in 5 hours. If the boys work at 1/4 the rate at which the girls work, how many boys will be needed to cut the field in 3 hours?”
ub = boy's velocity of cutting (field/hour=f/h)
ug = girl's velocity of cutting (f/h)
n = number of boys required to cut the field in 3 hours
4⋅ub+10⋅ug=15 f/h
ub=14ug
n⋅ub=13 f/h
→
ug=4ub
4⋅ub+40⋅ub=15 f/h
ub=1220 f/h
n=13⋅ub=2203.
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