SOLUTION: A&B working together can finish painting the house in six days. A, working alone, can finish it in five days less than B. How long will it take each of them to finish the work alon
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-> SOLUTION: A&B working together can finish painting the house in six days. A, working alone, can finish it in five days less than B. How long will it take each of them to finish the work alon
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Question 89769: A&B working together can finish painting the house in six days. A, working alone, can finish it in five days less than B. How long will it take each of them to finish the work alone? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A&B working together can finish painting the house in six days. A, working alone, can finish it in five days less than B. How long will it take each of them to finish the work alone?
:
Let x = A's time alone
then
(x+5) = B's time alone
:
Let the completed job = 1
: + = 1
:
multiply x(x+5) to get rid of the denominators
6(x+5) + 6x = x(x+5)
:
6x + 30 + 6x = x^2 + 5x
:
12x + 30 = x^2 + 5x
:
A quadratic equation:
x^2 + 5x - 12x - 30 = 0
:
x^2 - 7x - 30 = 0
:
(x - 10)(x + 3) = 0
:
x = 10 days, A alone (only solution that makes sense)
:
B = (x+5) = 15 days alone
:
:
Check our solutions: + = + = 1
