Chapter CSB1.3, Problem 24E

To determine

At what time both trains A and B will leave the station together.

Answer to Problem 24E

The time at which both trains next leave the station together is $\text{9:24 am}$

Explanation of Solution

Given:

Train A departs every 8 minutes and

Train B departs every 6 minutes.

Both trains leave the station at 9:00 am together.

Since, train A departs every 8 minutes and train B departs every 6 minutes from the station.

So,

Both train will together leave the station will be the LCM of both departures.

i.e.

  $\begin{array}{l}T=LCM\left(8,6\right)\\ \Rightarrow T=24\text{minutes}\end{array}$

So, the time at which both trains next leave the station together is $\text{9:24 am}$