SOLUTION: One solar heating panel can raise the temperature of a quantity of water 1 degree in 30 minutes. A second solar heating panel can raise the temperature of the same quantity of wate

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Question 582103: One solar heating panel can raise the temperature of a quantity of water 1 degree in 30 minutes. A second solar heating panel can raise the temperature of the same quantity of water 1 degree in 45 minutes. How long would it take to raise the temperature of that quantity of water 1 degree when both solar panels are operating?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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One solar heating panel can raise the temperature of a quantity of water 1 degree in 30 minutes.
A second solar heating panel can raise the temperature of the same quantity of water 1 degree in 45 minutes.
How long would it take to raise the temperature of that quantity of water 1 degree with both solar panels
:
Treat this as a "shared work" equation
:
let t = time required when both panels are used
let the completed job = 1 (raising a qty of water 1 degree)
:
t%2F30 + t%2F45 = 1
multiply by 90, to clear the denominators, results
3t + 2t = 90
5t = 90
t = 90/5
t = 18 min working together