Question

Велосипедисту и автобусу нужно проехать из пункта A в пункт b. они выезжают одновременно.автобус, двигаясь со скоростью 60км/ч , через каждый километр пути делает остановку на 2 минуты. велосипедист движется с постоянной скоростью, не останавливаясь.какой должна быть скорость велосипедиста, чтобы он нагонял автобус на каждой промежуточной остановке между пунктами A и B?

Answer 1

Скорость автобуса 60 км/ч, или 1 км/мин. 
т.е. автобус едет минуту и стоит 2 минуты, итого чтобы велосипедист его догонял, он должен за 3 минуты проезжать 1 км. т.е. 1км/3 мин домножив на 20 получим 20км/ч - скорость необходимая велосипедисту

Answer 2

Problem Analysis

To solve this problem, we need to find the speed at which the cyclist should travel to catch up with the bus at each intermediate stop between points A and B. The bus travels at 60 km/h and makes a stop every kilometer for 2 minutes. The cyclist travels at a constant speed without stopping.

Calculating the Cyclist's Speed

To calculate the cyclist's speed, we can use the following approach: 1. Find the time it takes for the bus to travel 1 km, including the stop time. 2. Use this time to calculate the distance the cyclist covers while the bus is stopped. 3. Add this distance to the 1 km between stops to find the total distance the cyclist needs to cover to catch up with the bus at each stop. 4. Calculate the cyclist's speed based on this total distance and the time it takes for the bus to cover 1 km.

Solution

Let's calculate the cyclist's speed using the provided information: 1. The bus travels at 60 km/h, so it takes 1 minute to cover 1 km (60 km/h = 1 km/min). 2. The bus stops for 2 minutes at each kilometer, so the total time for the bus to cover 1 km is 3 minutes. 3. During these 3 minutes, the cyclist covers a certain distance. 4. The cyclist needs to cover this distance plus 1 km to catch up with the bus at each stop.

Calculations

- The bus covers 1 km in 3 minutes, so the cyclist needs to cover the same distance in 3 minutes to catch up with the bus at each stop. - The cyclist's speed should be such that they cover 1 km in 3 minutes.

Therefore, the cyclist's speed should be 20 km/h to catch up with the bus at each intermediate stop between points A and B.