SOLUTION: Smith travels 45 miles going East from the center of the town and jones travels 70 miles going west from the same point. If Jones averages 5 miles per hour more than Smith and his
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Question 302973: Smith travels 45 miles going East from the center of the town and jones travels 70 miles going west from the same point. If Jones averages 5 miles per hour more than Smith and his trip1/2 hour longer than Smith. How fast was each of them traveling. Found 2 solutions by mananth, checkley77:Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! Smith travels 45 miles going East from the center of the town and jones travels 70 miles going west from the same point. If Jones averages 5 miles per hour more than Smith and his trip1/2 hour longer than Smith. How fast was each of them traveling.
let smith's rate be x mph
time taken by smith = 45/x hours
jones's rate = x+5 mph
time taken by jones = 70/ x+5
70 /x+5 - 45/x = 1/2
70x-45x-225=1/2 *x(x+5 )
2(25x-225)=x^2+5x
50x-450=x^2+5x
x^2-50x+5x+450=0
x^2-45x+450=0
x^2-30x-15x+450=0
x(x-30)-15(x-30)=0
(x-30)(x-15)=0
x= 30 OR 15 mph
Ananth
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