A runner can jog at a rate of 4 miles per hour uphill. Downhill, he can run 3 miles in the same time it takes him to run 2 miles uphill. How long would it take to run 2 miles uphill and then 3 miles downhill?

what is the most important variable?

The most important variable is 4 miles per hour up hill. Down hill he can run 3 miles in the same time it takes time to run uphill. up hill 4 miles 1 hour so 2 miles up hill is 1/2 hour. Down hill he can run 3 miles in the same time it takes time to run up hill ... 2 miles up hill - 1/2 hour. So 1/2 hr up and 1/2 hr down = 1 hour.

The answer to this question is very intriguing but I would have to say it is unsolvable. have a good day