SOLUTION: A rider on horseback travels from point Narnia to Archenland at an average speed of 20 miles/hour and returns at an average of 18 miles/hour. If the round trip takes 8 hours, find

Question 1108263: A rider on horseback travels from point Narnia to Archenland at an average speed of 20 miles/hour and returns at an average of 18 miles/hour. If the round trip takes 8 hours, find the distance between Narnia and Archenland.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!

SPEED TIME DISTANCE TO 20 d RETURN 18 d TOTAL 8

Answer by ikleyn(52894) (Show Source): You can put this solution on YOUR website!
.

Your "time" equation to find the distance d is + = 8 hours. Each term (each ratio) in the left side is the time to cover the one way distance. Multiplying both sides by 180 (common denominator) you get 9d + 10d = 8*180 19d = 1440 ====> d = = 75.789 miles (approx.)
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Be aware : The basic equation by @josgarithmetic is written incorrectly !

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