Question

two trains leave the same station at the same time, but are headed in opposite directions. one train travels at 70 mph, and the other train travels at 80 mph. how much time passes until the trains are 600 mi apart? enter your answer in the box.

Explanation:

Step1: Determine relative speed

Since the trains are moving in opposite directions, their relative speed is the sum of their individual speeds. So, relative speed \( v = 70 + 80 = 150 \) mph.

Step2: Use distance formula to find time

The distance formula is \( d = v \times t \), where \( d \) is distance, \( v \) is speed, and \( t \) is time. We need to find \( t \) when \( d = 600 \) miles and \( v = 150 \) mph. Rearranging the formula for \( t \), we get \( t=\frac{d}{v} \). Substituting the values, \( t = \frac{600}{150} \).

Step3: Calculate the time

\( \frac{600}{150}=4 \) hours.

Answer:

4 hours