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The Broad Street subway line express train stops at city hall every 9 minutes. The local train stops at the station every 12 minutes. If you arrived at the station just as both trains left, how long will you have to wait until they both arrive at the same time again?

Respuesta :

Answer:

36 Minutes

Step-by-step explanation:

You have to find the lowest common multiple which you can do by listing the times tables for each number.

9,18,27,36,45,54

12,24,36,48,60,72

and finding the lowest multiple that matches.

Both the train will meet after 36 minutes.

Concept:

  • To find when both the train will meet again at the same time, we need to find the LCM of the frequency.

How to solve the given question?

  • Frequency of express train = 9 minutes = 3 × 3
  • Frequency of local train = 12 minutes = 2 × 2 × 3
  • LCM = 2 × 2 × 3 × 3 = 36

Thus, both the train will meet after 36 minutes.

Learn more about LCM here:

https://brainly.com/question/21504246

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