Two trains are traveling opposite directions. One train travels at a speed of 90 mph. The second train travels at a speed of 95 mph. The 2 trains travel for three hours. How far apart are the 2 trains?
I got 555 mph but I don't know if it's correct
90t+95t = 90(t-3)+95(t-3)+d
90t+95t = 90t+95t-270-285+d
0 = -555 + d
d = 555 [miles]
You got the number correct but the unit wrong. It should be miles, not miles/hour.
To find the distance between the two trains, we need to calculate the total distance traveled by each train in the given time. Since the two trains are traveling in opposite directions, their distances will add up to give us the total distance between them.
The first train travels at a speed of 90 mph for 3 hours, so the distance it covers can be calculated using the formula:
Distance = Speed × Time = 90 mph × 3 hours = 270 miles
Similarly, the second train, traveling at a speed of 95 mph for 3 hours, covers a distance of:
Distance = Speed × Time = 95 mph × 3 hours = 285 miles
To find the total distance between the two trains, we sum up the distances covered by each train:
Total distance = Distance of first train + Distance of second train
= 270 miles + 285 miles
= 555 miles
Therefore, the two trains are approximately 555 miles apart.