All three trains just arrived at the station. When will they next all arrive at the same time? Key. red train 8 min. Blue train

Question

Musya8 [376]

3 years ago

5

All three trains just arrived at the station. When will they next all arrive at the same time? Key. red train 8 min. Blue train

10 min. Yellow train 12 minutes

Mathematics

2 answers:

Rama09 [41] · Answer 1 · 2022-07-30T10:53:31+03:00

Rama09 [41]3 years ago

7 0

You have to find the least common multipul

faust18 [17] · Answer 2 · 2022-07-30T12:38:58+03:00

Answer: 120 minutes or 2 hours

Step-by-step explanation:

Given : All three trains just arrived at the station.

The time taken by each train to arrive :-

Key. red train 8 min.

Blue train 10 min.

Yellow train 12 minutes

To find the minimum time at which it will take all of them to arrive at the same time, we need to find the least common multiple(LCM) of 8 , 10 and 12.

Prime factorization:-

$8=2\times2\times2\\\\10=2\times5\\\\12=2\times2\times3$

LCM( 8 , 10 ,12)= $2\times2\times2\times5\times3=120$

Hence, it will take 120 minutes or 2 hours to all of them to arrive at the same time.