Question

Из деревни в город выехал велосипедист со скоростью 250 метров в минуту через 10 минут вслед за ним выехал автобус сколько с со скоростью 750 метров в минуту через сколько времени автобус догонит велосипедиста на каком расстоянии от деревни произойдёт встреча какое расстояние будет между ними между велосипедистами автобусом через 8 минут после встречи

Answer 1

Напишите в ответе здеЗа 10 мин велосипедист проедет 250*10 = 2500 метров.а) пусть автобус догонит велосипедиста через x минут. За это время автобус проедет 750*x м, велосипедист (250*x + 2500) м. Расстояние пройдут одинаковое, то есть750x = 250x + 2500500x = 2500x = 5 мин.б) это произойдёт на расстоянии 750*5 = 3750 м от деревни.в) за 8 минут после встечи автобус проедет 750*8 = 6000 м, велосипедист 250*8 = 2000 м. Расстояние между ними будет 6000 - 2000 = 4000 м или 4 км.сь

Answer 2

Problem Analysis

We are given the following information: - A cyclist leaves a village with a speed of 250 meters per minute. - After 10 minutes, a bus leaves the village with a speed of 750 meters per minute. - We need to find out how long it will take for the bus to catch up to the cyclist, the distance from the village where they meet, and the distance between them 8 minutes after they meet.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's break down the problem into smaller steps:

1. Calculate the distance the cyclist travels in 10 minutes. 2. Calculate the time it takes for the bus to catch up to the cyclist. 3. Calculate the distance from the village where they meet. 4. Calculate the distance between them 8 minutes after they meet.

Let's calculate each step in detail.

Step 1: Calculate the distance the cyclist travels in 10 minutes

The cyclist's speed is 250 meters per minute, and the time is 10 minutes. We can use the formula distance = speed × time to calculate the distance traveled by the cyclist in 10 minutes.

distance_cyclist = speed_cyclist × time_cyclist

Substituting the values:

distance_cyclist = 250 meters/minute × 10 minutes

Calculating the distance:

distance_cyclist = 2500 meters

So, the cyclist travels a distance of 2500 meters in 10 minutes.

Step 2: Calculate the time it takes for the bus to catch up to the cyclist

The bus's speed is 750 meters per minute, and the distance traveled by the cyclist is 2500 meters. We can use the formula time = distance / speed to calculate the time it takes for the bus to catch up to the cyclist.

time_bus = distance_cyclist / speed_bus

Substituting the values:

time_bus = 2500 meters / 750 meters/minute

Calculating the time:

time_bus = 3.33 minutes

So, it takes approximately 3.33 minutes for the bus to catch up to the cyclist.

Step 3: Calculate the distance from the village where they meet

To calculate the distance from the village where they meet, we can use the formula distance = speed × time. The time is the same for both the cyclist and the bus, which is 3.33 minutes.

distance_meet = speed_cyclist × time_meet

Substituting the values:

distance_meet = 250 meters/minute × 3.33 minutes

Calculating the distance:

distance_meet = 832.5 meters

So, the distance from the village where they meet is approximately 832.5 meters.

Step 4: Calculate the distance between them 8 minutes after they meet

To calculate the distance between them 8 minutes after they meet, we need to find the distance traveled by both the cyclist and the bus in 8 minutes.

The cyclist's speed is 250 meters per minute, and the time is 8 minutes. We can use the formula distance = speed × time to calculate the distance traveled by the cyclist in 8 minutes.

distance_cyclist_8 = speed_cyclist × time_8

Substituting the values:

distance_cyclist_8 = 250 meters/minute × 8 minutes

Calculating the distance:

distance_cyclist_8 = 2000 meters

So, the cyclist travels a distance of 2000 meters in 8 minutes.

The bus's speed is 750 meters per minute, and the time is 8 minutes. We can use the formula distance = speed × time to calculate the distance traveled by the bus in 8 minutes.

distance_bus_8 = speed_bus × time_8

Substituting the values:

distance_bus_8 = 750 meters/minute × 8 minutes

Calculating the distance:

distance_bus_8 = 6000 meters

So, the bus travels a distance of 6000 meters in 8 minutes.

To find the distance between them, we subtract the distance traveled by the cyclist from the distance traveled by the bus.

distance_between = distance_bus_8 - distance_cyclist_8

Substituting the values:

distance_between = 6000 meters - 2000 meters

Calculating the distance:

distance_between = 4000 meters

So, the distance between the cyclist and the bus 8 minutes after they meet is 4000 meters.

Summary

Based on the calculations, we have the following results: - The bus takes approximately 3.33 minutes to catch up to the cyclist. - The distance from the village where they meet is approximately 832.5 meters. - The distance between the cyclist and the bus 8 minutes after they meet is 4000 meters.

Please note that these calculations are based on the given information and assumptions made.