SOLUTION: the time allowed for completing a certain piece of work is 40 days. By extending the time by 10 days we find that 25 fewer man will be needed. How many men are required to finish t
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: the time allowed for completing a certain piece of work is 40 days. By extending the time by 10 days we find that 25 fewer man will be needed. How many men are required to finish t
Log On
Question 276455: the time allowed for completing a certain piece of work is 40 days. By extending the time by 10 days we find that 25 fewer man will be needed. How many men are required to finish the work in 40 days? Answer by Grinnell(63) (Show Source):
You can put this solution on YOUR website! (40+10)(x-25)=40x
let x represent the initial amount of men on the job.
The key to this problem is simply understanding
Work Mandays --yes Mandays problems!
50x-1250=40x
10x=1250
x=125
number of men TIMES number of days EQUALS MANDAYS
x 40 = (x-25)(40+10)=Same Mandays, or same amount of time
to finish the work.