Amtrail trains provide efficient, nonstop transportation between Los Angeles and San Diego. Train A leaves Los Angeles headed toward San Diego at the same time that Train B leaves San Diego headed for Los Angeles, traveling on parallel tracks. Train A travels at a constant speed of 84 miles per hour. Train B travels at a constant speed of 92 miles per hour. The two stations are 132 miles apart. How long after they leave their respective stations do the trains meet

0.75 hour or 45 mins

Step-by-step explanation:

From the question, we are told that:

Speed of Train A = 84 miles per hour. Speed of Train B = 92 miles per hour.

Total speed travelled by both trains =

84mph + 92mph

= 176 mph

The distance between the two stations = 132 miles.

We are asked in the question to: find out how long after they leave their respective stations do the trains meet.

This means we should calculate the time

Time = Distance/ Speed

= 132 miles/176 miles per hour

= 0.75 hour

We can convert to minutes if we like

1 hour = 60 minutes

0.75 hour =

0.75 hour × 60 minutes/ 1 hour

= 45 minutes

Therefore, the trains meet after 0.75 hour or 45 minutes after they have left their respective stations.