Question

Два теплохода одновременно отправляются из одного порта по разным маршрутам. У одного рейс туда и обратно длится 22 дн., а у другого 33 дн.. Определи время, через которое теплоходы снова встретятся в порту?

Answer 1

Через 33 дня они встретятся

Answer 2

Calculation of the Meeting Time for Two Ships

To determine the time at which the two ships will meet again in the port, we need to find the least common multiple (LCM) of the two durations of their round trips.

The first ship's round trip duration is 22 days, and the second ship's round trip duration is 33 days.

To find the LCM, we can use the prime factorization method or the division method. Let's use the division method for simplicity.

1. Prime factorization method: - Prime factorize 22: 22 = 2 * 11 - Prime factorize 33: 33 = 3 * 11 - LCM = 2 * 3 * 11 = 66

2. Division method: - Divide the larger number (33) by the smaller number (22). - Divide 33 by 22: 33 ÷ 22 = 1 remainder 11 - Divide the previous divisor (22) by the remainder (11). - Divide 22 by 11: 22 ÷ 11 = 2 - The LCM is the product of the divisors and the remainder: LCM = 2 * 11 = 22

Therefore, the two ships will meet again in the port after 22 days.

Please note that the LCM calculation assumes that the ships depart from the port at the same time. If they have a time difference in their departures, the meeting time will be different.