SOLUTION: Two travelers allie and booker began a journey of 300 miles at the same time. Allie travelled a mile an hour faster than booker and arrived at her journeys end 10 hours before book

Question 1073490: Two travelers allie and booker began a journey of 300 miles at the same time. Allie travelled a mile an hour faster than booker and arrived at her journeys end 10 hours before booker. How many miles an hour did each travel ?
Answer by ikleyn(52833) (Show Source): You can put this solution on YOUR website!
.

Your "time" equation is 


 = 10.


Solve this equation for "a", which is the Allie' speed.


As a first step, multiply both sides by a*(a-1).


Then solve the obtained quadratic equation.


Answer.  Allie' speed is 6 miles per hour; booker' speed is 5 km/h.

RELATED QUESTIONS
A car made a journey of 144 miles, stopping for one hour along the way. Had it travelled... (answered by ankor@dixie-net.com)

Alan and Allie leave from the same point driving in opposite directions. Alan is driving... (answered by Boreal)

Allie has three fewer than twice the number of coins that Jonathan has. If Jonathan gave... (answered by ankor@dixie-net.com)

allie ode her bike for 2 hours at 7 miles per hour and then for 3 hours at 5 miles per... (answered by checkley77)

two cyclists are competing in a 12 miles race on a quarter mile circular track. They... (answered by checkley77)

From her home, Ling would have to walk due north to get to her friend Allie's house and... (answered by ikleyn)

Two cyclists are competing in a 12-mile race on a quarter mile circular track. They began (answered by ankor@dixie-net.com)

Two trains travel an identical 300 mile stretch of the sierras ending at the base lodge... (answered by richwmiller)

A car travels at 50 miles per hour and can go 300 miles between refueling stops. If each (answered by addingup)