SOLUTION: maria and hector rode their bikes toward each other starting from two towns 24 miles apart. maria rode three miles per hour faster than hector and they met in two hours. how fast d

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Question 387432: maria and hector rode their bikes toward each other starting from two towns 24 miles apart. maria rode three miles per hour faster than hector and they met in two hours. how fast did each person ride

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Maria rode three miles per hour faster than hector
Let x and (x + 3mph) represent Hector's and Maria's speed respectively
D = r*t
question states***
2hr*x + 2hr(x+3mph) = 24mi
Solving for x
4x + 6mi = 24mi
4x = 18mi
x = 4.5mph, Hector's speed. Maria's speed was 7.5mph (4.5ph + 3mph)
checking our answer***
2hr*4.5mph + 2hr*7.5mph = 9mi + 15mi = 24mi
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