SOLUTION: Suppose that a cyclist began a 308 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

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Question 1017398:
Suppose that a cyclist began a 308 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 5.5 hr and the car traveled 36.8 mph faster than the bicycle, find the average rate of each.
The car average rate is ___mph?
The bicycle's average rate is ______mph?

Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
The two together cover the entire state or 308 miles.
bicycle speed=x mph
car speed=x+36.8 mph
bicycle traveled 5.5x miles in 5.5 hours
car traveled 5.5x+36.8*5.5=5.5x+202.4 miles
combined distance is 11x+202.4=308 miles
11x=105.6 miles/hr
x=9.6 mph BICYCLE
x+36.8=46.4 mph CAR
Together, the converge at 56 mph
in 5.5 hours they cover 308 miles

SOLUTION: Suppose that a cyclist began a 308 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

SOLUTION: Suppose that a cyclist began a 308 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