SOLUTION: Suppose that a cyclist began a 377 mi ride across a state at the western edge of the state, at the same time that a car traveling toward it leaves the eastern end of the sta

Question 1121079: Suppose that a cyclist began a 377 mi ride across a state at the western edge of the state, at the same time that a car traveling toward it leaves the eastern end of the state. If the bicycle and car met after 6.5 hr and the car traveled 30.6 mph faster than the bicycle, find the average rate of each.
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Cyclist Speed, r
Car Speed, r+30.6

-

, Cyclist Speed
--
Car Speed,
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let represent the rate of the cycle, then represents the rate of the car. Since they are traveling toward each other, their combined rate is the sum of the two, or . In 6.5 hours, they traveled a combined distance of 377 miles, so their combined rate is 377 divided by 6.5, or 58 miles per hour.

Solve for , then calculate

John

My calculator said it, I believe it, that settles it

RELATED QUESTIONS
Suppose that a cyclist began a 352 mi ride across a state at the western edge of... (answered by macston)
Suppose that a cyclist began a 513513 mi ride across a state at the western edge of... (answered by Alan3354)
Suppose that a cyclist began a 476 mi ride across a state at the western edge of... (answered by solver91311)
Suppose that a cyclist began a 330 mi ride across a state at the western edge of... (answered by josmiceli)
Suppose that a cyclist began a 442 mi ride across a state at the western edge of... (answered by ankor@dixie-net.com)
Suppose that a cyclist began a 352 mi ride across a state at the western edge of... (answered by ankor@dixie-net.com)
Suppose that a cyclist began a 480 mi ride across a state at the western edge of... (answered by Collinwilfixyouuprealnice)
Suppose that a cyclist began a 416 mi ride across a state at the western edge of... (answered by josgarithmetic)
Suppose that a cyclist began a 578 mi ride across a state at the western edge of... (answered by josmiceli,addingup)

SOLUTION: Suppose that a cyclist began a 377 mi ride across a state at the western edge of the&#8203; state, at the same time that a car traveling toward it leaves the eastern end of the sta

SOLUTION: Suppose that a cyclist began a 377 mi ride across a state at the western edge of the state, at the same time that a car traveling toward it leaves the eastern end of the sta