Question 885248: Train B left the station traveling due East at 60 mph. At the same time, train C left the same station traveling due West at 75 mph. Using the formula:
Distance = rate x time, or: D = rt, how many hours did it take the two trains to be 675 miles apart?
Answer by nfickas15(2)   (Show Source):
You can put this solution on YOUR website! In the problem it does not tell you time since that is what you are looking to solve for. Since we do not know what the time is that it took for the trains to be that far apart let us make x be equal to the amount of hours it took for them to get that far apart.
Using the distance formula Distance = Rate x Time, we will solve this problem. Thus, 675 = 60x + 75x. I set up this problem this way because the two trains are the same distance apart. To find the time we have to set up the formula adding the two rates and the times. I did that because they are traveling in opposite directions so they are both contributing to how far apart they go.
When you solve the equation for x, 675 = 60x + 75x
675= 135x
Divide by 135.
5 = x
Therefore, the amount of time that it took for the two trains to be 675 miles apart is 5 hours.
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