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

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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(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your "time" equation is 


300%2F%28a-1%29+-+300%2Fa = 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.