SOLUTION: A car travels 219 miles in the same time a motorcycle travels 189 miles. If the car's speed is 10MPH more than the motorcycle, what is speed of both the car and motorcycle?

Question 954100: A car travels 219 miles in the same time a motorcycle travels 189 miles. If the car's speed is 10MPH more than the motorcycle, what is speed of both the car and motorcycle?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
r=rate of motorcycle
219 mi/(r+10mph)=189 mi/r Multiply each side by (r)(r+10mph)
219 mi(r)=189 mi(r+10mph)
219 mi(r)=189 mi(r)+1890 mi^2/hr Subtract 189 mi(r) from each side.
30 mi(r)=1890 mi^2/hr Divide each side by 30 mi
r=63mph ANSWER: The speed of the motorcycle is 63 mph.
r+10mph=63mph+10mph=73mph ANSWER 2: The speed of the car is 73 mph.
CHECK:
219mi/73mph=189mi/63mph
3hrs=3hrs

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