Question

Два теплохода одновременно отправляются из одного порта по разным маршрутам. у одного рейс туда и обратно длится 15 дней а у другого 20 дней найди время через которые теплоходы сново встретятся в порту?

Answer 1

Нок(15,20)=60. Встретятся через 60 дней

Answer 2

Problem Analysis

Two ships are departing from the same port simultaneously but taking different routes. One ship's round trip takes 15 days, while the other ship's round trip takes 20 days. We need to find the time at which the ships will meet again at the port.

Solution

To find the time at which the ships will meet again at the port, we need to find the least common multiple (LCM) of the two trip durations. The LCM will give us the time it takes for both ships to complete an integer number of trips.

Let's calculate the LCM of 15 and 20:

The prime factorization of 15 is 3 * 5. The prime factorization of 20 is 2^2 * 5.

To find the LCM, we take the highest power of each prime factor that appears in either number:

LCM = 2^2 * 3 * 5 = 60.

Therefore, the ships will meet again at the port after 60 days.

Answer

The two ships will meet again at the port after 60 days.