Question

Из Простоквашино в Печкино на лыжах вышли Шарик и Матроскин .Шарик дошёл до Печкино за 30 минут,развернулся и через 5 минут встретил отстающего Матроскина.Какое время Шарику ещё нужно проехать по направлению к Простоквашино , чтобы (конечно,развернувшись) прийти в Печкино одновременно с Матроскином?

Answer 1

Ответ: Шарик должен пройти в Печкино за 5 мин.

Answer 2

Problem Analysis

Шарик reached Pechkino in 30 minutes and then turned around to meet Matroskin, who was lagging behind. They met after 5 minutes. We need to find out how much time it will take for Шарик to reach Prostokvashino from that point so that they arrive in Pechkino at the same time.

Solution

Let's break down the problem step by step:

1. Шарик reached Pechkino in 30 minutes. 2. After reaching Pechkino, Шарик turned around and met Matroskin after 5 minutes. 3. To arrive at Pechkino at the same time as Matroskin, Шарик needs to travel the same distance that Matroskin has already covered.

Since Шарик met Matroskin after 5 minutes, we can assume that Matroskin was traveling for 5 minutes before they met. Therefore, Matroskin's travel time from Prostokvashino to the meeting point is 5 minutes.

To find out how much time Шарик needs to reach Prostokvashino from the meeting point, we subtract Matroskin's travel time from the total time it took Шарик to reach Pechkino.

Let's calculate it:

Total time taken by Шарик to reach Pechkino = 30 minutes Matroskin's travel time = 5 minutes

Time remaining for Шарик to reach Prostokvashino = Total time taken by Шарик - Matroskin's travel time Time remaining for Шарик to reach Prostokvashino = 30 minutes - 5 minutes = 25 minutes

Therefore, Шарик needs an additional 25 minutes to reach Prostokvashino from the meeting point in order to arrive in Pechkino at the same time as Matroskin.

Answer

Шарику ещё нужно проехать по направлению к Простоквашино ещё 25 минут, чтобы (конечно, развернувшись) прийти в Печкино одновременно с Матроскином.