SOLUTION: On a 540-mile trip, Andy averaged 5 miles per hour faster for the last 116 miles than he did for the first 424 miles. The entire trip took 10 hours. How fast did he travel for the
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Question 568284: On a 540-mile trip, Andy averaged 5 miles per hour faster for the last 116 miles than he did for the first 424 miles. The entire trip took 10 hours. How fast did he travel for the first 424 miles? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! Second part x x mph 424 miles
First part x+ 5 mph 116 miles
Time first part +Time second part =10 hours
116 / (x 5 )+( 424 /x)= 10
Multiply equation by the LCD (x+5)x
116 x+ 424 (x+ 5 )= 10
116 x+ 424 x+ 2120 = 10(x+5)*x
116 x+ 424 x+ 2120 =10X^2+50x
10 X^2 -490 x -2120 = 0
/10
x^2-49x-212=0
Facorize
x^2-53x+4x-212=0
x(x-53)+4(x-53)=0
(x-53)(x+4)=0
x=53 which is positive
53 mph on the first leg
