SOLUTION: Amanda travels to her aunts house at 90 kph and returns the next day at 60 kph. If the round trip took 7 hours, how far is it from Amanda's house to the aunt's house?

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Question 138676: Amanda travels to her aunts house at 90 kph and returns the next day at 60 kph.
If the round trip took 7 hours, how far is it from Amanda's house to the aunt's house?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Amanda travels to her aunts house at 90 kph and returns the next day at 60 kph.
If the round trip took 7 hours, how far is it from Amanda's house to the aunt's house?
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To Aunts house DATA:
Rate = 90 kph; Distance = x km ; Time = x/90 hrs.
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From Aunts house Data:
Rate = 60 kph ; Distance = x km; Time = x/60 hrs
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EQUATION:
time + time = 7 hrs.
x/90 + x/60 = 7
Multiply thru by 540 to get:
150x = 7*540
x = 7*540/150 = 252 km (distance to Aunt's house)
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Cheers,
Stan H.