SOLUTION: a hose can fill a swimming pool in 6 hours. another hose needs 3 more hours to fill the poll than the two hoses combined. how long would it take the second hose to fill the pool?
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Question 417750: a hose can fill a swimming pool in 6 hours. another hose needs 3 more hours to fill the poll than the two hoses combined. how long would it take the second hose to fill the pool? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! a hose can fill a swimming pool in 6 hours.
another hose needs 3 more hours to fill the pool than the two hoses combined
how long would it take the second hose to fill the pool?
:
Let t = time required by the 2nd hose to fill the pool
:
It says,"hose needs 3 more hours to fill the poll than the two hoses combined"; therefore:
(t-3) = time required by both hoses together to fill the pool
:
Let the completed job = 1; (a full pool)
:
A shared work equation:
:
+ = 1
Multiply equation by 6t, results
t(t-3) + 6(t-3) = 6t
:
t^2 - 3t + 6t - 18 = 6t
:
t^2 + 3t - 18 = 6t
:
t^2 + 3t - 6t - 18 = 0
:
t^2 - 3t - 18 = 0
Factors to
(t-6)(t+3) = 0
positive solution
t = 6 hrs for the 2nd hose to fill the pool, (same as the 1st hose)
:
:
Check this: time working together; 6-3 = 3, so we have + = 1; confirms our solution of t=6
