SOLUTION: A contractor undertook to build a building in 52 days and employed 24 men to work. Only 1/4 of the work was completed after 16 days. How many more men should be employed so that th

Question 1171750: A contractor undertook to build a building in 52 days and employed 24 men to work. Only 1/4 of the work was completed after 16 days. How many more men should be employed so that the work is completed
within the fixed time?
Found 2 solutions by ankor@dixie-net.com, josgarithmetic:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A contractor undertook to build a building in 52 days and employed 24 men to work.
Only 1/4 of the work was completed after 16 days.
How many more men should be employed so that the work is completed
within the fixed time?
:
Find how many man-days to complete 1/4 of the work
24 * 16 = 384 man days
Find how many man-days required to complete the remaining 3/4
3 * 384 = 1152 man-day
Let m = additional men required to do the job in the remaining 36 days
36(m+24) = 1152
36m + 864 = 1152
36m = 1152 - 864
36m = 288
m = 288/36
m = 8 more men working the remaining 36 days to complete the job

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
r, rate of work 1 man
n, number of MORE men to help finish work

.
.
A proportion can easily be made from those, simplified, and n solved-for.
RELATED QUESTIONS
a contractor got a contract to build a building in 30 days and employed 20 men to do the... (answered by ankor@dixie-net.com)
A contractor undertook to build a road in 200 days he employed 140 men after 60 days he... (answered by josgarithmetic,josmiceli,ikleyn,MathTherapy)
A contractor undertook a certain work to be done in 80 days and employed 72 men to do it. (answered by ankor@dixie-net.com)
A contractor undertook to do a certain piece of work in 9 days. He employed certain... (answered by ikleyn,Theo,greenestamps,josgarithmetic,Edwin McCravy)
A contractor undertakes to dig a canal, 6 kilometer long in 35 days and employed 90 men.... (answered by macston)
A contractor agrees to lay a road 3000m long in 30 days. 50 men are employed and they... (answered by josgarithmetic,MathTherapy)
A contractor agrees to lay a road 3000m long in 30 days. 50 men are employed and they... (answered by josgarithmetic,ikleyn)
A road contractor wanted to build a 200 meter long road in 30 days and employed 20... (answered by ankor@dixie-net.com,MathTherapy)
A contructor undertakes to build a wall 1000 meter long in 50 days. He employed 56 men... (answered by stanbon,ankor@dixie-net.com,MathTherapy)