SOLUTION: roy can tar a roof in nine hrs.one day his friend jose helped him adn it took only 4.74 hrs. how long would it take jose to do it alone

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Question 254210: roy can tar a roof in nine hrs.one day his friend jose helped him adn it took only 4.74 hrs. how long would it take jose to do it alone
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
roy can tar a roof in nine hrs.one day his friend jose helped him adn it took only 4.74 hrs. how long would it take jose to do it alone
:
let x = time required when J does it alone
:
The the completed job = 1
:
4.74%2F9 + 4.74%2Fx = 1
Multiply eq by 9x, results:
4.74x + 4.74(9) = 9x
:
4.74x + 42.66 = 9x
:
42.66 = 9x - 4.74x
:
42.66 = 4.26x
x = 42.66%2F4.26
x = 10.01 hrs, J by himself
:
:
Check solution
4.74%2F9 + 4.74%2F10.01 =
.5267 + .4735 = 1.00, confirms our solution