Question

Два мотоциклиста едут по прямому шоссе. Один из них движется со скоростью 60 км/ч, а другой отстает на 20 м и хочет обогнать первого, двигаясь со скоростью 80 км/ч Успеет ли он совершить обгон, если через 300 м на шоссе начинается участок, где обгон запрещен? Длину мотоциклов принять равной 2 м.

Answer 1

да успеет:)

переведи в м/с получается 1 мотоциклист 16 м/с а 2 моточиклист 22м/с

значит 2 мотоц. за 1 с на 6 метров дальше едет,  потом  расстояние между  24 метра учитывая мотоциклы ну 24/6= 4 секунды потребуется 2 обогнать первого.

а 300 метров 1 мотоц. за 18 с. а второй за 13с.

Answer 2

Problem Analysis

We have two motorcyclists traveling on a straight highway. One is moving at a speed of 60 km/h, while the other is 20 meters behind and wants to overtake the first motorcyclist by traveling at a speed of 80 km/h. We need to determine if the second motorcyclist will be able to overtake the first one before reaching a section of the highway where overtaking is prohibited, located 300 meters ahead. The length of the motorcycles is assumed to be 2 meters.

Solution

To solve this problem, we need to calculate the time it takes for the second motorcyclist to catch up with the first one. If this time is less than the time it takes to reach the no-overtaking section, then the second motorcyclist will be able to overtake.

Let's calculate the time it takes for the second motorcyclist to catch up with the first one:

1. Calculate the relative speed between the two motorcyclists: - The relative speed is the difference between the speeds of the second and first motorcyclists: 80 km/h - 60 km/h = 20 km/h.

2. Convert the relative speed to meters per second: - 20 km/h = (20 * 1000) / (60 * 60) m/s = 20000 / 3600 m/s ≈ 5.56 m/s.

3. Calculate the time it takes for the second motorcyclist to cover the initial distance of 20 meters: - Time = Distance / Speed = 20 m / 5.56 m/s ≈ 3.6 s.

4. Calculate the time it takes for the second motorcyclist to cover the remaining distance to the no-overtaking section: -