the time needed to paint a fence varies directly with the length if the fence and indirectly with the number of painters. if it takes 5 hours to paint 200 feet of fence with 3 painters, how long will it take 5 painters to paint 500 feet of fence?
The rate at which fence painting is done is 200/(3*5) feet per painter-hour.
In order to paint 500 feet we need 500*3*5/200 painter-hours
With 5 painters the time taken is 500*3*5/(200*5) hours = 7.5 hours
.
If 3 painters paint 200 ft of fence in 5 hours, in 1 hour, they must paint 40 ft.......so each painter paints 40/3 ft per hour.
Then, 5 painters can paint 200/3 ft every hr........so........500/ (200/3) = 1500/200 = 7.5 hrs.
ok we might as well all answer this question!
This is how I was trained to do it
TαLNT=k∗LNbut5=k∗2003sok=340soT=3L40N$WhenN=5andL=500$T=3∗50040∗5T=7.5hours
Which can we do faster.......paint that fence or answer this question?????
{ I say its a toss up..... }