SOLUTION: Janet jogs 10 miles then cycles 45.5 miles. She completes both in 4.5 hours. She cycles 6 mph faster than she jogs. What is her cycling rate? I need to know the steps for solving

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Question 977018: Janet jogs 10 miles then cycles 45.5 miles. She completes both in 4.5 hours. She cycles 6 mph faster than she jogs. What is her cycling rate?
I need to know the steps for solving this.

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
_______________rate___________time____________distance
Jog_____________r_____________(___)____________10
Cycle__________r+6____________(___)____________45.5
Total_________________________4.5

Basic uniform rates relationship, RT=D for rate, time, distance

_______________rate___________time____________distance
Jog_____________r_____________10%2Fr____________10
Cycle__________r+6____________45.5%2F%28r%2B6%29____________45.5
Total_________________________4.5


Time-sum equation
highlight_green%2810%2Fr%2B45.5%2F%28r%2B6%29=4.5%29