Question 954100
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