Question

Из деревень Абакаканово и Юдино, находящихся на расстоянии 3 км, навстречу друг другу одновременно выехалм два велосипедиста. Первый движется со скоростью 13 м/с, а второй - со скоростью 7м/с. С момента когда они встретились, первый поехал со скоростью 7 м/с, а второй - со скоростью 13м/с в тех же направлениях. Какое время считая от момента встречи, понадобятся первому велосипедисту, чтобы приехать в Юдино, а второму в Абаканово.

Answer 1

Вначале велосипедисты сближаются со скоростью 13м/с+7м/с=20м/с
3км=3000м
Они встретились через 3000м/20м/с=150с
За это время первый проехал 13м/с*150с=1950м и ему осталось проехать 3000м-1950м=1050м. Он поехал со скоростью 7 м/с и преодолел 1050м за 1050м/7м/с=150с
Второй наоборот, проехал 1050м и ему осталось проехать 1950м. Он поехал со скоростью 13м/с и справился за 1950м/13м/с=150с
150с=2мин 30с
Ответ: им потебовалось одинаковое время 2мин 30с

Answer 2

Problem Analysis

We have two cyclists starting from two different villages, Abakakanovo and Yudino, which are 3 km apart. They start simultaneously and meet each other. After meeting, the first cyclist continues with a speed of 7 m/s, while the second cyclist continues with a speed of 13 m/s, both in the same direction. We need to find the time it takes for the first cyclist to reach Yudino and for the second cyclist to reach Abakakanovo.

Solution

Let's analyze the problem step by step:

1. The two cyclists start simultaneously and meet each other. Since they are traveling towards each other, we can calculate the time it takes for them to meet using the formula:

Time to meet = Distance / Relative speed

The relative speed of the two cyclists is the sum of their individual speeds:

Relative speed = Speed of cyclist 1 + Speed of cyclist 2

Substituting the given values:

Relative speed = 13 m/s + 7 m/s = 20 m/s

Since the distance between the two villages is 3 km (or 3000 m), the time it takes for the cyclists to meet is:

Time to meet = 3000 m / 20 m/s = 150 seconds

2. After meeting, the first cyclist continues with a speed of 7 m/s towards Yudino. We need to find the time it takes for the first cyclist to reach Yudino. Since the distance between the meeting point and Yudino is 3 km (or 3000 m), we can calculate the time using the formula:

Time = Distance / Speed

Substituting the given values:

Time = 3000 m / 7 m/s = 428.57 seconds

Therefore, it will take approximately 428.57 seconds for the first cyclist to reach Yudino.

3. Similarly, after meeting, the second cyclist continues with a speed of 13 m/s towards Abakakanovo. We need to find the time it takes for the second cyclist to reach Abakakanovo. Since the distance between the meeting point and Abakakanovo is 3 km (or 3000 m), we can calculate the time using the formula:

Time = Distance / Speed

Substituting the given values:

Time = 3000 m / 13 m/s = 230.77 seconds

Therefore, it will take approximately 230.77 seconds for the second cyclist to reach Abakakanovo.

Answer

To summarize, the first cyclist will take approximately 428.57 seconds to reach Yudino, and the second cyclist will take approximately 230.77 seconds to reach Abakakanovo.