Question

At bus stop, bus No. 11 stops once every 12 minutes, and bus No. 17 - once every 18 minutes. At some point in time these buses stopped at this stop at the same time. After what short period of time will these buses stop again at the same time?

Answer 1

To determine when these two buses will stop again at the same time, we need to find the least common multiple (LCM) of their stopping intervals. Bus No. 11 stops every 12 minutes, while Bus No. 17 stops every 18 minutes. The LCM of 12 and 18 is 36 minutes. Therefore, after 36 minutes, both buses will stop at the same time

Step-by-step explanation:

The question involves finding when two buses that have different intervals for stopping at a bus stop will next stop together. Bus No. 11 stops every 12 minutes and bus No. 17 stops every 18 minutes. To solve this, we need to find the Least Common Multiple (LCM) of the two time intervals.

We can list the multiples of each number until we find a common multiple:

• Multiples of 12: 12, 24, 36, 48, 60, ...
• Multiples of 18: 18, 36, 54, 72, ...

The first common multiple of both sets is 36 minutes. Therefore, the buses will stop again at the same time after 36 minutes.