Question

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 95 miles per hour. how long will it take for the two trains to be 204 miles apart? do not do any rounding.

Explanation:

Step1: Find combined speed

Since the trains move in opposite directions, add their speeds:
$75 + 95 = 170$ miles per hour

Step2: Solve for time using distance formula

Use $time = \frac{distance}{combined\ speed}$, substitute values:
$time = \frac{204}{170}$

Step3: Simplify the fraction

$\frac{204}{170} = 1.2$

Answer:

1.2 hours