Question

Когда спортсмен из команды 4 А класса на последнем этапе принял эстафетную палочку от своего товарища, его соперник из команды 4 Б класса был впереди на 15 м. Участник из команды 4 Б бежит со скоростью 5 м/с, а его соперник-6м/с.Через сколько секунд второй догонит первого?Сможет ли победить команда 4 А, если длина заключительного этапа составляет 90 м?

Answer 1

1)90-15=75(м) - осталось бежать 4Б
2)75:5=15(сек) - достигнет финиша 4Б
3) 90:6=15(сек) - достигнет финиша 4А.
Ответ: через 15 секунд 4а догонит 4б; нет не сможет, они придут одновременно.

Answer 2

Problem Analysis

We are given the following information: - A sportsman from Team 4A received the relay baton from their teammate. - The opponent from Team 4B was ahead by 15 meters. - The participant from Team 4B runs at a speed of 5 m/s, while their opponent runs at a speed of 6 m/s. - The length of the final stage is 90 meters.

We need to determine: 1. How many seconds it will take for the second participant to catch up with the first participant. 2. Whether Team 4A can win the race.

Solution

To find the time it takes for the second participant to catch up, we can set up an equation based on their speeds and the distance between them.

Let's assume that the time it takes for the second participant to catch up is t seconds.

The distance covered by the first participant in t seconds is given by: Distance_1 = Speed_1 * t.

The distance covered by the second participant in t seconds is given by: Distance_2 = Speed_2 * t.

Since the second participant is initially ahead by 15 meters, the equation becomes: Distance_2 - Distance_1 = 15.

Substituting the values, we get: (Speed_2 * t) - (Speed_1 * t) = 15.

Simplifying the equation, we have: t * (Speed_2 - Speed_1) = 15.

Now, we can solve for t using the given speeds.

Let's calculate the time it takes for the second participant to catch up:

Speed_1 = 6 m/s (speed of the first participant from Team 4A).

Speed_2 = 5 m/s (speed of the second participant from Team 4B).

Substituting the values, we have: t * (5 - 6) = 15.

Simplifying the equation, we get: -t = 15.

Solving for t, we find: t = -15.

Since time cannot be negative, it means that the second participant will never catch up to the first participant. Therefore, the second participant will not be able to overtake the first participant.

Now, let's determine if Team 4A can win the race.

The length of the final stage is given as 90 meters. Since the second participant will not be able to catch up, the first participant from Team 4A will be the first to cross the finish line. Therefore, Team 4A will win the race.

Answer

The second participant will not be able to catch up to the first participant. Therefore, the second participant will not overtake the first participant.

Team 4A will win the race since their participant will be the first to cross the finish line.