Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at
85
miles per hour. The westbound train travels at
95
miles per hour. How long will it take for the two trains to be
252
miles apart?
252/[85+95]=?
To find out how long it will take for the two trains to be 252 miles apart, we need to determine their relative speed. Since one train is traveling east at 85 miles per hour and the other train is traveling west at 95 miles per hour, their combined speed is 85 + 95 = 180 miles per hour.
To calculate the time it will take for the trains to be 252 miles apart, we can use the formula: time = distance / speed. In this case, the distance is 252 miles and the speed is 180 miles per hour.
Plugging these values into the formula, we get:
time = 252 miles / 180 miles per hour
To simplify the calculation, we can divide both the numerator and the denominator by the greatest common divisor (GCD) of 252 and 180, which is 36.
time = (252/36) miles / (180/36) miles per hour
Simplifying further, we get:
time = 7 miles / 5 miles per hour
Finally, dividing 7 miles by 5 miles per hour, we find:
time = 1.4 hours
Therefore, it will take approximately 1.4 hours for the two trains to be 252 miles apart.