Question

SOS! с конечной остановки одновременно выезжают автобусы по разным маршрутам .Оди возвраается та эту остновку каждые 30 мин.другой-каждые 40.через какое наименьшее время они снова окажутся на конечно остановке вместе?

Answer 1

Тут нужно найти нок этих чисел.нок 40 и30=120ответ:через 120 минут или через 2 часа.

Answer 2

Calculating the Time for Buses to Meet Again

To find out when the buses will simultaneously return to the final stop, we can use the concept of the least common multiple (LCM) of their intervals.

Bus 1: Returns to the final stop every 30 minutes. Bus 2: Returns to the final stop every 40 minutes.

The LCM of 30 and 40 will give us the time when both buses will return to the final stop at the same time.

Calculating the Least Common Multiple (LCM)

The LCM of 30 and 40 can be calculated using the following steps:

1. Find the prime factorization of each number. 2. Take the highest power of all the factors that appear in the factorizations.

Prime Factorization of 30

The prime factorization of 30 is 2 * 3 * 5.

Prime Factorization of 40

The prime factorization of 40 is 2^3 * 5.

Calculating the LCM

To find the LCM, we take the highest power of all the factors that appear in the factorizations: - The highest power of 2 is 2^3. - The highest power of 3 is 3. - The highest power of 5 is 5.

So, the LCM of 30 and 40 is 2^3 * 3 * 5, which equals 120.

Therefore, the buses will meet again at the final stop after 120 minutes.