a toy train completes one round of a circular track in 120 seconds another one complete surround in 180 seconds both the train start together from 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
Answers
Step-by-step explanation:
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:
6 mins
Step-by-step explanation:
A toy train completes one round of a circular track in 120 seconds.
120 seconds = 2 minutes.
Another one complete surround in 180 seconds.
180 seconds = 3 minutes.
Both trains move in the opposite direction in order to find time after which they will meet for the first time we need to take LCM(120,180).
120 = 2 * 2 * 2 * 3 * 5
180 = 2 * 2 * 3 * 3 * 5
LCM(120,180) = 2 * 2 * 2 * 3 * 3 * 5 = 360.
=> 360/60
=> 60 seconds.
Hence, the two trains meet for the first time after 6 minutes from where they started.
#Hope my answer has helped you!