SOLUTION: Ed rode his bike for 2 more hours than Ann rode hers. Ed traveled 24 miles and Ann traveled 6 miles. If they both rode at the same speed, for what length of time did Ed ride his bi

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Question 632723: Ed rode his bike for 2 more hours than Ann rode hers. Ed traveled 24 miles and Ann traveled 6 miles. If they both rode at the same speed, for what length of time did Ed ride his bike?
Found 2 solutions by graphmatics, MathTherapy:
Answer by graphmatics(170) About Me  (Show Source):
You can put this solution on YOUR website!
Let s be the speed in miles per hour that Ed and Ann used. Let t be the time in hours that Ann traveled. For Ann we have st=6 so s=6/t. For Ed s(t+2)=24 so (6/t)(t+2)=24. Multiply both sides by t and get 6(t+2)=24t. 6t+12=24t. 12=18t. t=12/18. t=2/3 of an hour. t=40 minutes

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
Ed rode his bike for 2 more hours than Ann rode hers. Ed traveled 24 miles and Ann traveled 6 miles. If they both rode at the same speed, for what length of time did Ed ride his bike?

Let Ed's time to ride 24 miles be T

Then Ann's time to travel 6 miles is: T - 2

Since they traveled at the same speed, then: 24%2FT+=+6%2F%28T+-+2%29

24(T - 2) = 6T ------ Cross-multiplying

24T - 48 = 6T

18T = 48

T, or time taken by Ed to travel 24 miles = 48%2F18, or highlight_green%282%262%2F3%29 hours, or highlight_green%282_hours_and_40_minutes%29

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