Question

A red line and a blue line bus both left the stadium at 4:00 p.m.

Red line buses were scheduled to leave the stadium every 6 minutes.

Blue line buses were scheduled to leave the stadium every 8 minutes.

if the buses run on schedule, when is the next time a red line and a Blue line bus will leave together?
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Answer 1

Answer:

4:24pm

Step-by-step explanation:

To answer this question, we need to find the LCM (Lowest common multiple) of 6 and 8 to find out when they will leave at the same time again.

To do this we can either list all the prime factors of each one and multiply the non-common ones:

6 = 2x3

8 = 2x2x2

2x2x3 = 24

OR we can list the multiples and find the lowest matching ones:

6 => 6, 12, 18, 24, 30

8 => 8, 16, 24, 32, 40

We can see that 24 is the least common factor.

This means that both busses will leave at the same time 24 minutes after 4pm.

Therefore the next time a red line and blue line bus will leave together is 4:24pm.

Hope this helped!