Train A leaves station at 9am traveling east at 85 mph. Train B leaves station at 9:30 am traveling west. Both train are on the same track. At what time will they meet?
They won't meet because they're going in opposite directions.
To find out when the two trains will meet, we need to determine the time it will take Train A and Train B to cover the distance between them.
First, let's calculate the distance Train A travels before Train B starts. Since Train A leaves at 9 am and Train B leaves at 9:30 am (30 minutes later), Train A will have been traveling for 30 minutes.
The distance Train A travels in 30 minutes can be found by multiplying its speed (85 mph) by the time traveled (30 minutes).
Distance = Speed x Time
Distance = 85 mph x (30 minutes / 60 minutes per hour)
Distance = 85 mph x 0.5 hours
Distance = 42.5 miles
Now, we know that Train B needs to cover a total distance of 42.5 miles to meet Train A.
Since Train B is traveling in the opposite direction, its speed effectively adds up with the speed of Train A. So, we need to consider the combined speed of the two trains, which is 85 mph (Train A) + 85 mph (Train B) = 170 mph.
To find the time it takes for Train B to cover the 42.5 miles at a combined speed of 170 mph, we can use the formula:
Time = Distance / Speed
Time = 42.5 miles / 170 mph
Time = 0.25 hours
Since Train B leaves at 9:30 am and takes 0.25 hours to cover the distance, we can simply add the time to the departure time:
9:30 am + 0.25 hours = 9:45 am
Therefore, Train A and Train B will meet at 9:45 am.