SOLUTION: Mary drove to the train station and back. It took two hours less time to get there than it did to get back. The average s[ed on the trip there was 50 mph. The average speed on the
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Question 785534: Mary drove to the train station and back. It took two hours less time to get there than it did to get back. The average s[ed on the trip there was 50 mph. The average speed on the way back was 30mph. How many hours did the trip there take?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= hours takem for the round trip
= hours taken for the return trip
-->-->-->
= distance to the station = distance traveled back from the station
For the round trip we know that
For the return trip we know that
-->-->-->
Substtituting that expression for into we get
-->-->-->-->
Unfortunately, what that means for the trip distances and speeds is scary:
-->-->
-->
If the trip back took 2.5 hours and the trip to the station took 2hours less,
,
Mary drove the 75 miles to the station in 0.5 hours.
Her average speed when going to the station was
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