SOLUTION: It takes one employee 3 hours longer to mow a football field than it does a more experienced employee. Together they can mow the grass in 2 hours. How long does it take for each
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Question 319516: It takes one employee 3 hours longer to mow a football field than it does a more experienced employee. Together they can mow the grass in 2 hours. How long does it take for each person to mow the football field working alone? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! It takes one employee 3 hours longer to mow a football field than it does a more experienced employee.
Together they can mow the grass in 2 hours. How long does it take for each
person to mow the football field working alone?
:
Assume they each have a mower
:
Let t = time required by the experienced employee alone
then
(t+3) = time for the other employee
:
Let the completed job = 1
:
A shared work equation + = 1
multiply by t(t+3), results:
2(t+3) + 2t = t(t+3)
:
2t + 6 + 2t = t^2 + 3t
combine like terms on the right
0 = t^2 + 3t - 4t - 6
A quadratic equation
t^2 - t - 6 = 0
Factors to
(t - 3)(s + 2) = 0
positive solution
t = 3 hrs for the experienced guy by himself
and
3 + 3 = 6 hrs for the other guy by himself
:
:
Check solution + = + = 1
