Question 1094530
<br>The car travels 500 miles in the time the train travels 300 miles.  Since the time is the same, the ratio of the speeds is the same as the ratio of the distances, 500:300, or 5:3.<br>
Let the train's speed be x; then the car's speed is (5/3)x.  Since we are also told that the car's speed is 30 mph faster than the train's speed,
{{{(5/3)x = x+30}}}
{{{(5/3)x = (3/3)x+30}}}
{{{(5/3)x - (3/3)x = 30}}}
{{{(2/3)x = 30}}}
{{{x = 30(3/2) = 45}}}<br>
The train's speed is 45 mph.
The car's speed is 45+30 = 75 mph.
or you can say the car's speed is (5/3)(45) = 75 mph.