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
Algebra.Com
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
RELATED QUESTIONS
On a 540-mile trip, Andy averaged 5 miles per hour faster for the last 228 miles than he... (answered by mananth)
On a 570 mile trip Andy averaged 5 miles per hour faster for the last 240 miles than he... (answered by dukesmart)
On a 135-mile bicycle trip, John averaged 5 miles per hour faster for the first 60 miles... (answered by richwmiller,checkley77)
On a 570-mile trip, Andy averaged 5 miles per hour faster for the last 240 miles than he... (answered by mananth)
On a 370-mile trip, Andy averaged 5 miles per hour faster for the last 160 miles than he... (answered by josmiceli)
On a 560-mile trip, Andy averaged 5 miles per hour faster for the last 120 miles than he... (answered by josgarithmetic)
On a 135-mile bycycle excursion, Maria averaged 5 mph faster for the first 60 miles than... (answered by Mathtut)
On a 135 mile bicycle excursion, Maria averaged 5 miles per hour slower during the last... (answered by solver91311)
On a 135-mile bicycle ride, Sara averaged 5 miles per hour slower during the last 75... (answered by mananth)