SOLUTION: A car travels 90 miles in the same time that car travelins 10 miles per hour slower travels 60 miles. Find the speed of each car.

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Question 31173This question is from textbook Into Algebra
: A car travels 90 miles in the same time that car travelins 10 miles per hour slower travels 60 miles. Find the speed of each car. This question is from textbook Into Algebra

Answer by mbarugel(146)   (Show Source): You can put this solution on YOUR website!
Hello!
Let's call X to the speed of the fast car. The time needed for a car going at X miles per hour (mph) to travel 90 miles is:

[for example, if it were going at 45 mph, it would need 2 hours to travel 90 miles]
The other car travles 10 mph slower; that is, at mph. The time it takes this car to travel 60 miles would then be:

But we also know that these times are equal. So we have the equation:

Cross-multiplying:



The fast car travels at 30 mph; the other one, at 20 mph.

I hope this helps!
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