SOLUTION: It will take 24 men working 9 hours a day each to build a house in 45 days. Given that all men work at the same rate, a. How nay days will 18 men take to build the same house if

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It will take 24 men working 9 hours a day each to build a house in 45 days. Given that all men work at the same rate, a. How nay days will 18 men take to build the same house if      Log On


   

Question 507764: It will take 24 men working 9 hours a day each to build a house in 45 days. Given that all men work at the same rate,
a. How nay days will 18 men take to build the same house if they work 8 hours a day ?
b. how many hours per day must 20 men work if the house is to be completed in 48 days ?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
It will take 24 men working 9 hours a day each to build a house in 45 days. Given that all men work at the same rate,
a. How many days will 18 men take to build the same house if they work 8 hours a day ?
b. how many hours per day must 20 men work if the house is to be completed in 48 days ?
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Man-hours to build the house=24*9*45=9720
a. How many days will 18 men take to build the same house if they work 8 hours a day ?
let x=days to build the same house
18*8*x=9720
x=9720/(18*8)=67.5 days
..
b. how many hours per day must 20 men work if the house is to be completed in 48 days ?
let u = hours per day 20 men must work
20*u*48=9720
u=9720/(20*48)=10.125 hrs/day