SOLUTION: Two cars leave from a city at the same time and travel in the same direction. One car travels two and two-thirds times as fast as the other. After 1 hour, they are 50 miles apart.

Question 888635: Two cars leave from a city at the same time and travel in the same direction. One car travels two and two-thirds times as fast as the other. After 1 hour, they are 50 miles apart. What are the speeds of the cars? Write and solve a system of equations.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the slower car
= the speed of the faster car
Let = the distance the faster car travels in hr
= the distance the slower car travels in hr
----------------------------------------
Equation for slower car:
(1)
Equation for faster car:
(2)
----------------------
Substitute (2) into (1)
(1)
(1)
(1)
(1) mi/hr

mi/hr
---------------------------
The faster car's speed is 36.364 mi/hr
The slower car's speed is 13.636 mi/hr
----------------------------------
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
OK

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