Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per hour. The westbound train travels at 65 miles per hour. How long will it take for the two trains to be 196 miles apart?
time = distance/speed, so
196/(75+65) = ?
= 2 hours and 36 minutes
To find out how long it will take for the two trains to be 196 miles apart, we need to determine the time it takes for both trains to cover a total distance of 196 miles.
Let's analyze the situation:
The eastbound train is traveling at a speed of 75 miles per hour.
The westbound train is traveling at a speed of 65 miles per hour.
Since the trains are moving in opposite directions, their speeds are added to determine their relative speed.
Relative Speed = Speed of Eastbound Train + Speed of Westbound Train
Relative Speed = 75 mph + 65 mph
Relative Speed = 140 mph
Now, we can use the formula:
Time = Distance / Speed
Substituting the values, we have:
Time = 196 miles / 140 mph
Calculating the time, we have:
Time = 1.4 hours
Therefore, it will take approximately 1.4 hours (or 1 hour and 24 minutes) for the two trains to be 196 miles apart.