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
(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
(s - 10)(s - 15) = 0
s = 10 mph is B's speed, then R's speed = 15 mph
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