SOLUTION: Two sisters like to compete on their bike rides. Autumn can go 4 mph faster than her sister, Jacqueline. If it takes Jacqueline one hour longer than Autumn to go 24 miles, how fa

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Question 1168133: Two sisters like to compete on their bike rides. Autumn can go 4 mph faster than her sister, Jacqueline. If it takes Jacqueline one hour longer than Autumn to go 24 miles, how fast can Jacqueline ride her bike?
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.

Write the "time" equation


    24%2Fx - 24%2F%28x%2B4%29 = 1  hours,


where x is the Jacqueline's rate.


You can reduce it to the quadratic equation and solve it by any way.


Or, alternatively, you can guess the solution.


ANSWER.  Jacqueline's rate is 8 miles per hour.

         Autumn's age is 12 miles per hour.


CHACK.  24%2F8 - 24%2F12 = 3 - 2 = 1 hour.

Solved.