SOLUTION: A car went 340 miles in 5 hours, travelling part of the time at 55 mph and part of the time at 75 mph. How long did the car travel at each speed?

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Question 900233: A car went 340 miles in 5 hours, travelling part of the time at 55 mph and part of the time at 75 mph. How long did the car travel at each speed?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
RT=D basic rule for uniform travel rates.

x time done at 55 mph, y time done at 75 mph.
x%2By=5;

RT means distance.
highlight_green%2855x%2B75y=340%29 and again, highlight_green%28x%2By=5%29.
Simplify the distance sum equation: 11x%2B15y=68.

Any method you want, solve this system:
highlight%28system%2811x%2B15y=68%2Cx%2By=5%29%29.