SOLUTION: please show me the steps in solving the following problem: You are in a biathalon which totals 62 miles, and you includes a run and a bike race. You finish in 4 hours and avera

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Question 395669: please show me the steps in solving the following problem:
You are in a biathalon which totals 62 miles, and you includes a run and a bike race. You finish in 4 hours and average 8 mi/hr on the run and 20 mi/hr on the bike. What is the distance of each?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the time running at 8 mph. Then, since the total time was 4 hours, the time spent bicycling must have been

Running rate times running time plus bicycling rate times bicycling time is equal to running distance plus bicycling distance is equal to total distance, hence:



Solve for and

Once you have the times for each leg, the distances follow directly.

John

My calculator said it, I believe it, that settles it
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