Question

At a train station, the blue line has a train leaving every 15 minutes, the green line has a train leaving every 24 minutes and the red line every 10 minutes. If the first train on each line leaves at the same time.how often will there be trains on al three lines departing the train station at the same time ?​

Answer 1

Answer : 120

Step by step explanation :

Here, we will take out the LCM as we have to take out after how many times in common is happening by the combination of three lines. So, let us start solving the equation :

15 minutes – 1 blue line

24 minutes – 1 green line

10 minutes – 1 red line

So, now we will find out the LCM of 15, 24 and 10 .

LCM of 15,24,10 = 120

So, after every 120 minutes, the three lines come together to meet the train.

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