SOLUTION: two cars leave from a city at the same time and travel in the same direction.One car travels one-third and two-third times as fast as the other. After 3 hr. they are 150 mi apart.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: two cars leave from a city at the same time and travel in the same direction.One car travels one-third and two-third times as fast as the other. After 3 hr. they are 150 mi apart.      Log On

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Question 750583: two cars leave from a city at the same time and travel in the same direction.One car travels one-third and two-third times as fast as the other. After 3 hr. they are 150 mi apart. What are the speeds of the cars?

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
What are you saying here, in the description, "One car travels one-third and two-third times as fast as the other."? That is meaningless.

I'll try to guess what you mean.

________________rate________________time________________distance
Fast Car________%281%262%2F3%29u____________(3)_______________%281%262%2F3%29%2Au%2A3
Slow Car________u__________________(3)________________u%2A3

The distance reached for the fast car is greater than the distance reached for the slow car. Their difference is 150 miles. I AM GUESSING AS WELL AS I CAN THAT YOU WANTED TO SAY "one and two thirds times the other", for how to relate the speeds or the cars.

We may want to solve for u in highlight%28%281%262%2F3%29%2Au%2A3-u%2A3=150%29.

You could describe again more carefully the problem description in case I did not guess what you really meant.