SOLUTION: tom and huck start a business painting fences. They paint Aunt polly's fence and find that they can paint a 200-ft(2) square .fence in 40min if they work together .If huch works fo

Question 833242: tom and huck start a business painting fences. They paint Aunt polly's fence and find that they can paint a 200-ft(2) square .fence in 40min if they work together .If huch works four times faster than tom, how long would it take each of them to paint a 500-ft(2) square fence working alone?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call painting the 200 ft2 fence 1 job
= 1 job/40 min
Then a 500 ft2 fence would be 2.5 jobs
Let = Tom's rate of painting
= Huck's rate of painting
-------------------------------

---------------
For Tom:

For Huck:

--------------

Tom takes 8 hrs and 20 min to paint the 500 ft2 fence alone

Huck takes 2 hrs and 5 min to paint the 500 ft2 fence alone
-----------------
check:

OK

RELATED QUESTIONS
Tom can paint a fence in 5 hours and Huck can paint the same fence in 6 hours. Tom starts (answered by josgarithmetic,ikleyn)

Tom can whitewash 2/3 of Aunt Polly's fence in 3 hours. Huck can whitewash 1/3 of the... (answered by josgarithmetic,josmiceli)

The houses in Wanda's neighborhood have similar wooden fences, so Wanda decided to start... (answered by stanbon)

tom can paint a fence in 8 hours. Huck can paint the same fence in 5 hours. How long... (answered by josmiceli)

Huck Finn takes five hours longer to paint a fence than it does Tom Sawyer. Together,... (answered by DrBeeee)

Tommy can paint a fence in 9 hours. If his friend Huck helps, they can paint the fence in (answered by josgarithmetic)

Tommy can paint a fence in 6 hours. If his friend Huck helps, they can paint the fence in (answered by richwmiller)

Tommy can paint a fence in 9 hours. If his friend Huck helps, they can paint the... (answered by josmiceli)

Tommy can paint a fence in 9 hours. If his friend Huck helps, they can paint the fence in (answered by math_helper)