SOLUTION: Naoki bikes 40 miles to Hillsboro. The return trip is at 6 mph slower. Total travel time for round trip is 14 hours. Find her speed on each part of the trip.

Question 997009: Naoki bikes 40 miles to Hillsboro. The return trip is at 6 mph slower. Total travel time for round trip is 14 hours. Find her speed on each part of the trip.
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
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Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

Unknown variables are t, j, r.

speed time distance TO r t d FROM r-k j d Total h

The basic rate formula allows to find expressions for each of t and j.

speed time distance TO r d/r d FROM r-k d/(r-k) d Total h

Notice the total time sum and the indicated equation . Solve the equation for r. Once the formula is simplified, substitute the given values and evaluate r.

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