Question

Bus a takes 22 minutes to complete its route. Bus b takes 15 minutes to complete its route. If both buses leave the station at 8:30 a.m., at what time will they arrive at the station at the same time?

Answer 1

To find out when both buses will arrive at the station at the same time, we need to find the least common multiple (LCM) of the two bus routes' durations. The LCM of two numbers is the smallest multiple that is exactly divisible by every member of a set of numbers.

Let's calculate the LCM of 22 and 15 minutes.

After finding the LCM, we will add it to the departure time of 8:30 a.m. to find out when both buses will arrive at the station at the same time.

The least common multiple (LCM) of 22 and 15 is 330 minutes. This means that both buses will arrive at the station at the same time 330 minutes after they leave.

Now, let's add 330 minutes to the departure time of 8:30 a.m. to find out when both buses will arrive at the station at the same time.

Both buses will arrive at the station at the same time at 2:00 p.m. This is calculated by adding the least common multiple of the two bus routes' durations (330 minutes) to the departure time of 8:30 a.m.