Question

A toy train completes one round of a circular track in 120 seconds. Another one completes a round in 180 seconds. Both the trains start together from a station and run in opposite directions. After how many minutes will both the trains meet for the first time at the station from where they started?
Note: LCM Needs to be used here

Answer 1

Heya!

Here is yr answer......


Given,



The first train completes the round in 120 sec

The second train completes the round in 180 sec

The both trains travels in opp. direction

After how many mins they meet at station ??

Now,

First train appears at the station in these times....

120 , 240 , 360 , 480 , 600 .........

Second train appears at the station in these times....

180 , 360 , 540 , 720 , 900 ........


It's confusing ryt??!!


Just take the LCM .....


=> LCM of 120 and 180

120 = 2³ × 3¹ × 5

180 = 2² × 3² × 5¹


LCM = 2³ × 3² × 5 = 360

360 sec = 6 mins


So, the trains meets together at the station after after 6 mins.


Hope it helps...

Answer 2

Hey mate:

Here is your answer......

The 1st train completes the round in 120 seconds

The 2nd train completes the round in 180 seconds...

Both trains runs in opposite direction...

Now,

Take the Lcm of 120 and 180....

By PF method.... LCM of 120 and 180 = 360

So, after 360 seconds it means after 6 minutes both trains meets together... at the station.

Hope it helps u....

#brainly