SOLUTION: chloe leaves the house at 10am and rides north on her bike. at 1pm her brother jason heads south from the house on his bike and averages 6mph faster than his sister. at 2pm jason c

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: chloe leaves the house at 10am and rides north on her bike. at 1pm her brother jason heads south from the house on his bike and averages 6mph faster than his sister. at 2pm jason c      Log On

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Question 1152197: chloe leaves the house at 10am and rides north on her bike. at 1pm her brother jason heads south from the house on his bike and averages 6mph faster than his sister. at 2pm jason calls chloe on his cell phone, and they determined that they are 66 miles apart. what is the average speed for each of them?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Let x be Chloe's biking speed in mph; then Jason's speed is x+6.

At 2pm, Chloe has been riding for 4 hours and Jason has been riding for 1.

4 hours at x mph, plus 1 hour at (x+6) mph, equals a total distance of 66 miles:

4%28x%29%2B1%28x%2B6%29+=+66

Solve using basic algebra.

Then remember the solution to the equation is x, which is Chloe's speed. The answers to the problem are x and x+6.