A train to new york city leaves every 7 minutes. another train to boston leaves the station every 6 minutes. suppose it is 6:30

Question

2 years ago

7

am right now. at what time will both trains leave the station together again if both of them left the station together at 6:30 am?

1 answer:

yanalaym [24] · Answer 1 · 2023-06-03T21:32:00+03:00

Both trains will leave the station together again at 7:12 am if both of them left the station together at 6:30 am.

The lowest integer that is a multiple of two or more numbers is known as the LCM.
For instance, the LCM of 4 and 6 is 12, and the LCM of 10 and 15 is 30.
There are numerous ways for determining the least common multiples, just as there are for computing the greatest common divisors.
One approach is to divide both numbers by their primes.

To find at what time will both trains leave the station together again if both of them left the station together at 6:30 am:

If a train to New York City departs every 7 minutes and another to Boston departs every 6 minutes,
The two trains then depart together after a time equal to the LCM of their individual intervals
LCM (7,6) = 42
As a result, if they begin at the same time, they will depart at the same time every 42 minutes.
If both trains left the station at 6.30 a.m., they will leave together again 42 minutes later, at 7.12 am.

Therefore, both trains will leave the station together again at 7:12 am if both of them left the station together at 6:30 am.

Know more about LCM here:

#SPJ4