SOLUTION: In one hour, Ed drives 25 miles farther in his car than Frank can cycle on his bike. If it takes Frank 1 1/2 hours longer to cycle 75 miles than it take Ed in his car, how fast can

Question 435264: In one hour, Ed drives 25 miles farther in his car than Frank can cycle on his bike. If it takes Frank 1 1/2 hours longer to cycle 75 miles than it take Ed in his car, how fast can Frank cycle?
Please help me with this problem, thanks.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The 1st sentence says that Ed's speed is 25 miles/hr
faster than Frank's
Let = Frank's speed
Let = Ed's time to go 75 miles in his car
Frank's equation:

Ed's equation:

-------------------------
This is 2 equations with 2 uhnknowns,
so it's solvable
Since the distances are equal,

Using quadratic formula:

Frank's speed is 25 mi/hr
check answer:

hr
OK

OK

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