SOLUTION: Ted runs two thirds as fast of Frank. In two hours hours Frank runs eight miles farther than Ted. How fast does each run?

Question 364353: Ted runs two thirds as fast of Frank. In two hours hours Frank runs eight miles farther than Ted. How fast does each run?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Ted runs two thirds as fast of Frank. In two hours hours Frank runs eight miles farther than Ted. How fast does each run?
---------
Frank DATA:
rate = x mph ; time = 2 hrs : distance = rt = 2x miles
--------
Ted DATA:
rate = (2/3)x mph ; time = 2 hrs : distance = rt = (4/3)x miles
--------
Equation:
Frank distance - Ted distance = 8 miles
---
2x - (4/3)x = 8
---
(2/3)x = 8
x = 12 mph (Frank's rate)
(2/3)x = 8 mph (Ted's rate)
=================================
Cheers,
Stan H.
RELATED QUESTIONS
ted runs two thirds as fast as frank. in two hours frank runs eight miles farther then... (answered by stanbon)

write an equation and solve Frank runs two-thirds as fast as Ted. In two hour Ted runs (answered by josgarithmetic)

Jim and Ryan run laps around a track which is 1 /4 of a mile long. If Jim runs h laps per (answered by Theo)

Working together Ben and Frank wash 1,000 dishes in 3 hours. Ben works twice as fast as... (answered by ikleyn)

two runners leave the same point,running in opposite directions .One runneer runs 1 mi/hr (answered by scott8148)

Fast walking. Marcie can walk 8 miles in the same time as Frank walks 6 miles. If Marcie (answered by solver91311)

In one hour, Ed drives 25 miles farther in his car than Frank can cycle on his bike. If... (answered by josmiceli)

Simone and Sean are running in a four-mile relay race. After Simone completes the first... (answered by lwsshak3)

Ethan can run twice as fast as he can walk. If after running two hours and then walking... (answered by josmiceli)