Two cars start together and travel in the same direction, one going twice as fast as the other. At the end of?

Two cars start together and travel in the same direction, one going twice as fast as the other. At the end of 3 hours, they are 96 miles apart. How fast is each car traveling?Two cars start together and travel in the same direction, one going twice as fast as the other. At the end of?The slow car is going 32 mph

The fast car is going 64 mphTwo cars start together and travel in the same direction, one going twice as fast as the other. At the end of?The faster car is traveling 64 mph. The slower car is traveling 32 mph.



96/3 is how many mph faster the faster car is traveling than the slower car. That is equal to 32 mph. Since the faster car is twice as fast as the slower car, then the faster car would travel at twice the speed of the difference between the two, so it is traveling at 64 mph.



x = mph of slower car.

2x = mph of faster car.

x = 96/3 mph, or 32 mph.



Get it? In one hour the faster car has traveled 32 miles more than the slower car. Since the faster car is twice as fast as the slower car, then it has to have traveled 64 miles because this is twice as much as 32. And since it traveled that far in an hour, then it is traveling at 64 mph.Two cars start together and travel in the same direction, one going twice as fast as the other. At the end of?I know my math teacher would want me to show work, so I'll tell you how I did this problem. Be warned, explaining isn't my greatest talent.



Well, I think you should divide 96 by three first, to make it easier. So, that means by the end of one hour, they are 32 miles apart. Do do the one-goes-twice-as-fast-as-the-other thing in thirds, so I can divide so that there's 2/3 that's double 1/3. (because 1*2=2, sorry, that was not explained very well.) So, you divide 32 by three, which is 10.66666 repeating. So, the slower car is going 10.66666 mph. To find the faster car's mph, you just double the slower car's mph, which comes to 21.33333. The last step is to check your answer. To do this, multiply the slower car's mph ( because we divided by three in the beginning, remember?) and add it to the faster car's mph multiplied by three. So, the speed of the slower car is 32 mph, and the faster car is going 65 mph.(aka (10.6666x3)+(21.33333x3)=96) You will get 96, so the answer's right! Hope I helped!