SOLUTION: a driver completed a trip in 6 hours. if his average speed had been ten kph more, the trip would have taken one hour less. what is the average speed for the trip?

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Question 748396: a driver completed a trip in 6 hours. if his average speed had been ten kph more, the trip would have taken one hour less. what is the average speed for the trip?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Letting r = average speed for the trip,

________________rate___________time__________distance
Actual___________r______________6____________r%2A6
Fictional________r+10___________5____________%28r%2B10%29%2A5

Immediately filled information were rate and time. Calculated expressions were the distance, giving two different expressions. The distance for "Actual" and for "Fictional" are equal. That is the same distance done at different rates.

6r=5%28r%2B10%29
6r=5r%2B50
highlight%28r=50%29