Вопрос задан 01.05.2019 в 22:00. Предмет Математика. Спрашивает Барсукова Алёна.

Из 2 городов навстречу друг другу выехали 2 велосипедиста. Первый выехал на 2 часа раньше и

проезжал на 3 км в час больше второго. Встреча произошла через 4 часа после выезда второго велосипедиста, который проезжал 39 км за 3 часа. Определить расстояние между городами. помогите пожалуйста)
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Отвечает Любченко Андрей.

v2=39/3=13км/ч

v1=v2+3=16км/ч

t2=4ч

t1=t2+2=6ч

s2=v2*t2=13*4=52км

s1=v1*t1=16*6=96км

s=s1+s2=96+52=148км

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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Отвечает Уткин Дмитрий.

1)39:3=13(км/ч)- V 2 велосипедиста

2)13+3=16(км/ч)-V 1 велосипедиста

3)4+2=6(ч)- время двоих

4)13+16=29(км/ч)- V двоих велосипедистов

5)29*6=174(км)- S.

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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

Problem Analysis

We have two cyclists who start from two different cities and meet after a certain amount of time. We are given information about the time difference between their departures, the speed difference between them, and the time it takes for the second cyclist to cover a certain distance. We need to determine the distance between the two cities.

Given Information

- The first cyclist started 2 hours earlier than the second cyclist. - The first cyclist rides 3 km/h faster than the second cyclist. - The second cyclist covers a distance of 39 km in 3 hours. - The meeting between the two cyclists occurs 4 hours after the second cyclist's departure.

Solution

Let's break down the problem step by step:

1. Let's assume the speed of the second cyclist is x km/h. Since the first cyclist rides 3 km/h faster, the speed of the first cyclist is (x + 3) km/h. 2. The second cyclist covers a distance of 39 km in 3 hours, so we can set up the equation: distance = speed × time. For the second cyclist, this becomes 39 = x × 3. 3. We know that the meeting occurs 4 hours after the second cyclist's departure. So, the first cyclist rides for 4 + 2 = 6 hours. 4. Using the equation from step 2, we can calculate the distance covered by the second cyclist in 4 hours: distance = x × 4. 5. The total distance between the two cities is the sum of the distances covered by each cyclist. So, the equation becomes: total distance = distance covered by first cyclist + distance covered by second cyclist.

Let's solve the equations to find the distance between the two cities.

Solution Steps

1. Let's solve the equation 39 = x × 3 to find the speed of the second cyclist. 2. Solving for x, we get: x = 39 / 3 = 13 km/h. 3. Now, let's calculate the distance covered by the second cyclist in 4 hours: distance = x × 4 = 13 × 4 = 52 km. 4. The first cyclist rides for 6 hours, so the distance covered by the first cyclist is: distance = (x + 3) × 6 = (13 + 3) × 6 = 96 km. 5. The total distance between the two cities is the sum of the distances covered by each cyclist: total distance = 96 + 52 = 148 km.

Therefore, the distance between the two cities is 148 km.

Answer

The distance between the two cities is 148 km.

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