# SOLUTION: 20.) Brenda and her husband Randy bicycled cross - country together. One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour. Rand

Algebra ->  Algebra  -> Test -> SOLUTION: 20.) Brenda and her husband Randy bicycled cross - country together. One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour. Rand      Log On

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 Question 164004This question is from textbook Elementary and Intermediate : 20.) Brenda and her husband Randy bicycled cross - country together. One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour. Randy covered twice the distance brenda covered. What was the speed of each cyclist?This question is from textbook Elementary and Intermediate Answer by ankor@dixie-net.com(15645)   (Show Source): You can put this solution on YOUR website!Brenda and her husband Randy bicycled cross - country together. One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour. Randy covered twice the distance brenda covered. What was the speed of each cyclist? : Let s = B's speed, distance 30 mi then (s+5) = R's speed, distance 60 mi : Write a time equation: Time = distance/speed : B's time + 1 hr = R's time + 1 = Multiply equation by s(s+5) 30(s+5) + s(s+5) = 60s : 30s + 150 + s^2 + 5s = 60s : Arrange as a quadratic equation: s^2 + 5s + 30s - 60s + 150 = 0 : s^2 - 25s + 150 = 0 Factors to: (s - 10)(s - 15) = 0 : s = 10 mph is B's speed, then R's speed = 15 mph or s = 15 mph is B's speed, then R's speed = 20 mph : If substitute either value for s you will find that it's true