You participate in a triathlon in which you swam 3 miles, ran 5 miles, and then bicycled 10 miles. You ran?

Question

How would I setup this word problem to solve?

You ran in a triathlon in which you swam 3 miles,ran 5 miles, and then bicycled 10 miles. You ran twice as fast as you swam and bicycled three times as fast as you swam. If your total time was 1 hr and 46 minutes, how fast did you swim?

Answer 1

OK pull wat you know.

You need to find out how fast you swam, so i'll use "s".

You ran twice as fast as you swan so 2s

You ran 3 times as fast as you swam so 3s

all factor into your final time. SO:

s + 2s + 3s=1 hr 46 minutes.

6s=1 hr 46 minutes.

6s=106 minutes.

So you swam in 3 miles in 17.67 minutes

17.67/3=5.89

Assuming your pace was constant you swam a mile in 5.89 minutes

60/5.89=10.19

So your constant swimming pace was 10.19 miles per hour

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