SOLUTION: Mr. Allen hiked from his summer cabin to town at a rate of 3 mph. He came back in a car which averaged 36 mph. If the total time he traveled was 3.25 hours, find the amount of ti

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Mr. Allen hiked from his summer cabin to town at a rate of 3 mph. He came back in a car which averaged 36 mph. If the total time he traveled was 3.25 hours, find the amount of ti      Log On

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Question 847609: Mr. Allen hiked from his summer cabin to town at a rate of 3 mph. He came back in a car which averaged 36 mph. If the total time he traveled was 3.25 hours, find the amount of time h spent on each part of the trip.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
________________speed__________time__________distance
Hike____________3______________(___)_________(____)
Drive Back______36_____________(___)_________(____)
Total__________________________3.25

The individual times are not given and the distance each way is not given. We only know that the distances each way are equal. Call each one-way distance, d.

________________speed__________time__________distance
Hike____________3______________(___)__________d
Drive Back______36_____________(___)__________d
Total__________________________3.25

Uniform rate equation for travel can be stated as RT=D, for Rate, Time, Distance. This means T=D/R which we use to make expressions for each of the missing times.

________________speed__________time__________distance
Hike____________3______________d%2F3__________d
Drive Back______36_____________d%2F36__________d
Total__________________________3.25

Solve the total time sum equation for the unknown distance, d.
highlight_green%28d%2F3%2Bd%2F36=3.25%29, and you could decide if you want to use the equation as d%2F3%2Bd%2F36=3%261%2F4.
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When you know the value for distance d, you can use it to find the values for the times each way.