Question

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

Answer 1

0.75 hour or 45 mins

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.