SOLUTION: Suppose that a cyclist began a 330 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

Question 1060436: Suppose that a cyclist began a
330
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
32.4
mph faster than the bicycle, find the average rate of each.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance in miles the west - east cyclist
travels until meeting car
-----------------------------------------
= distance in miles east - west car
travels until meeting cyclist
-----------------------------------------
Let = the speed of the cyclist in mi/hr
= the speed of the car in mi/hr
------------------------------------------
Equation for W - E cyclist
(1)
-------------------------
Equation for E - W car:
(2)
-----------------------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)
and

-----------------------
The bike's ave. rate is 13.8 mi/hr
The car's ave. rate is 46.2 mi/hr
-----------------------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
OK

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SOLUTION: Suppose that a cyclist began a 330 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 330 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