SOLUTION: one roofer can put a new roof on a house three times faster than another. Working together, they can roof a house in 4 days. How long would it take the faster roofer working alone?

Question 250438: one roofer can put a new roof on a house three times faster than another. Working together, they can roof a house in 4 days. How long would it take the faster roofer working alone?
Answer by chosenpoint(26) (Show Source): You can put this solution on YOUR website!

Rate-of-work-word-problems/250438 (2009-12-15 21:54:41): one roofer can put a new roof on a house three times faster than another. Working together, they can roof a house in 4 days. How long would it take the faster roofer working alone?

Let x be the fastest roofers time to roof the house

Then the slower roofers time will be 3x

Use the following formula to calculate how the work is done:

where A & B are the times done by themselves, and C is the time it takes them to do the work together, thus we have:

So the fast roofer can do it by himself in about 5.33 days! Hope that helps! :)

RELATED QUESTIONS
one roofer can put a new roof on a house three times faster than another. Working... (answered by edjones)

one roofer can put a new roof on a house three times faster than another. working... (answered by ikleyn)

One roofer can put a new roof on a house three times faster than another. Working... (answered by Theo)

One roofer can put a new roof on a house three times faster than another. Working... (answered by josgarithmetic,ikleyn,greenestamps)

One roofer can put a neew roof on a house three times faster than another. Working... (answered by stanbon,checkley71)

If one professional roofer can roof and house in six days and another roofer can do it in (answered by ptaylor)

an experienced roofer can work twice as fast as helper. working together, they can... (answered by Boreal)

working together, it takes two roofers 4 hours to put a new roof on a portable classroom. (answered by scott8148)

Mary can roof their house in 4 days working alone, her husband can roof their house in 6... (answered by josmiceli)