SOLUTION: Red Riding Hood drives 432 miles to Grandmother's house in one hour less than it takes the Wolf to drive the same route. Her average speed is 6 mph faster than the Wolf's average s
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: Red Riding Hood drives 432 miles to Grandmother's house in one hour less than it takes the Wolf to drive the same route. Her average speed is 6 mph faster than the Wolf's average s
Log On
Question 774468: Red Riding Hood drives 432 miles to Grandmother's house in one hour less than it takes the Wolf to drive the same route. Her average speed is 6 mph faster than the Wolf's average speed. How fast does each drive. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Red Riding Hood drives 432 miles to Grandmother's house in one hour less than it takes the Wolf to drive the same route. Her average speed is 6 mph faster than the Wolf's average speed. How fast does each drive.
***
let x=wolf's ave speed
x+6=Red Riding Hood's ave speed
travel time=distance/speed
LCD:x(x+6)
432(x+6)-432x=x^2+6x
432x+2592-432x=x^2+6x
x^2+6x-2592=0
(x+54)(x-48)=0
x=-54 (reject)
or
x=48
x+6=54
wolf's ave speed=48 mph
Red Riding Hood's ave speed=54 mph
(