Answer:
It will take 9 hours with 4 painters to paint 720 feet of fence.
Step-by-step explanation:
Given that,
The time needed to paint a fence varies directly with the length of the fence
.......(1)
and inversely with the number of painters
.....(2)
Combination of (1) and (2) is
where t represents time, represents length of fence, P represents number of painters.
Again we can write the above equation as
Given that,
It takes 7 hours with 2 painters to paint 280 feet of fence .
We need to find time to paint 720 feet of fence with 4 painters.
=7 hours,
=280 feet,
=2,
=? ,
= 720 feet,
=4
It will take 9 hours to paint 720 feet of fence with 4 painters.