SOLUTION: Travel: Jery drove from St.Louis,MO to Kansas city, MO in 5.5 hours. On the return trip he decided to increase his speed by 10 mph and the return took 4.5 hours. Find the rate o

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Question 412661: Travel: Jery drove from St.Louis,MO to Kansas city, MO in 5.5 hours. On the return trip he decided to increase his speed by 10 mph and the return took 4.5 hours. Find the rate on the return trip. What is the distance from St. Louis to Kansas city?
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Travel: Jery drove from St.Louis,MO to Kansas city, MO in 5.5 hours. On the return trip he decided to increase his speed by 10 mph and the return took 4.5 hours. Find the rate on the return trip. What is the distance from St. Louis to Kansas city?
..
let x=speed of return trip
then x-10=speed of forward trip
distance=travel time*speed
5.5(x-10)=4.5x
5.5x-55=4.5x
x=55 mph
distance=4.5*55=247.5 miles
ans:
The return trip speed=55mph
Distance from St. Louis to Kansas City=247.5 miles