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

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

RELATED QUESTIONS
Red Riding Hood drives the 432 miles to go Grandmother�s house in 1 hour less than it... (answered by josmiceli,solver91311)

Rob drives 550 miles home in one hour less than it takes Mary to drive the same route.... (answered by Paul)

Two brothers leave from the same location, one in a car and the other on a bicycle, to... (answered by josmiceli)

Jill and her grandmother have homes that are 520 miles apart. They leave their homes at... (answered by josgarithmetic)

Paul leaves his house on a bike riding at 15 mph, one hour later, Ray leaves in his car... (answered by Paul)

Little Red Riding Hood, in order to make it to Grandma's house and back home in time for... (answered by macston)

okay. So i'm very confused and stuck on this problem. i really need help. here is the... (answered by ankor@dixie-net.com,nerdybill)

Beverly can drive 600 miles in the same time as it takes suzan to drive 500 miles. if... (answered by ewatrrr)

don can drive 100 miles to work in the same amount of time that it takes him to drive 60... (answered by jorel555)