Question

От остановки одновременно отъехали автобус и троллейбус. автобус приезжает на эту остановку через каждые 1 час 30 минут, а троллейбус через каждый час. в какое ближайшее время на остановке окажется снова автобус и троллейбусы?

Answer 1

Через 3 часа
1)1ч30мин•2=3ч
2)1ч•3=3ч

Answer 2

Calculating the Next Arrival Time of the Bus and Trolleybus

To calculate the next arrival time of the bus and trolleybus, we can use the concept of the least common multiple (LCM) of the time intervals at which each vehicle arrives at the stop.

- The bus arrives every 1 hour and 30 minutes. - The trolleybus arrives every 1 hour.

To find the next time both the bus and trolleybus will arrive at the stop, we need to find the LCM of these two time intervals.

Calculating the Least Common Multiple (LCM)

The LCM of two numbers is the smallest multiple that both numbers share. In this case, we need to find the LCM of 90 minutes (1 hour and 30 minutes) and 60 minutes (1 hour).

The LCM of 90 and 60 is 180 minutes, which is 3 hours.

Next Arrival Time

Therefore, the next time both the bus and trolleybus will arrive at the stop will be in 3 hours.

This means that the next time both the bus and trolleybus will be at the stop will be Saturday, December 09, 2023 15:26:00 UTC.