Question

Из двух городов одновременно навстречу друг другу выехали два автомобиля. Известно, что один проехал весь путь за 4 часа, а другой-за 5 часов. Какая часть пути была между ними через час после начала движения ? Помогите пожалуйста задача вообще непонятная... !!!!!!

Answer 1

За 1 час проходит 1 автомобиль 1/5
Другой 1/4
Приводим к общему знаменателю:
4/20+5/20
20/20-5/20-4/20=11/20 

Answer 2

Problem Analysis

The problem states that two cars started simultaneously from two different cities and traveled towards each other. One car completed the entire journey in 4 hours, while the other car took 5 hours. We need to determine the fraction of the total distance between them after one hour of travel.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the two cars is the sum of their individual speeds.

Let's assume that the first car's speed is x units per hour and the second car's speed is y units per hour. Since one car completes the journey in 4 hours and the other car completes it in 5 hours, we can set up the following equations:

Distance covered by the first car = x * 4 Distance covered by the second car = y * 5

Since the two cars are traveling towards each other, the sum of the distances covered by both cars will be equal to the total distance between the two cities.

Total distance = x * 4 + y * 5

To find the fraction of the total distance covered by the two cars after one hour, we need to calculate the distance covered by both cars after one hour and divide it by the total distance.

Distance covered by the first car after one hour = x * 1 Distance covered by the second car after one hour = y * 1

Fraction of the total distance covered after one hour = (Distance covered by the first car after one hour + Distance covered by the second car after one hour) / Total distance

Let's calculate the fraction using the given information.

Calculation

Given: One car completes the journey in 4 hours. Another car completes the journey in 5 hours.

Let's assume the speed of the first car is x units per hour and the speed of the second car is y units per hour.

Distance covered by the first car = x * 4 Distance covered by the second car = y * 5

Total distance = x * 4 + y * 5

Distance covered by the first car after one hour = x * 1 Distance covered by the second car after one hour = y * 1

Fraction of the total distance covered after one hour = (Distance covered by the first car after one hour + Distance covered by the second car after one hour) / Total distance

Let's substitute the values and calculate the fraction.

Calculation

Given: One car completes the journey in 4 hours. Another car completes the journey in 5 hours.

Let's assume the speed of the first car is x units per hour and the speed of the second car is y units per hour.

Distance covered by the first car = x * 4 Distance covered by the second car = y * 5

Total distance = x * 4 + y * 5

Distance covered by the first car after one hour = x * 1 Distance covered by the second car after one hour = y * 1

Fraction of the total distance covered after one hour = (Distance covered by the first car after one hour + Distance covered by the second car after one hour) / Total distance

Let's substitute the values and calculate the fraction.

Calculation

Given: One car completes the journey in 4 hours. Another car completes the journey in 5 hours.

Let's assume the speed of the first car is x units per hour and the speed of the second car is y units per hour.

Distance covered by the first car = x * 4 Distance covered by the second car = y * 5

Total distance = x * 4 + y * 5

Distance covered by the first car after one hour = x * 1 Distance covered by the second car after one hour = y * 1

Fraction of the total distance covered after one hour = (Distance covered by the first car after one hour + Distance covered by the second car after one hour) / Total distance

Let's substitute the values and calculate the fraction.

Calculation

Given: One car completes the journey in 4 hours. Another car completes the journey in 5 hours.

Let's assume the speed of the first car is x units per hour and the speed of the second car is y units per hour.

Distance covered by the first car = x * 4 Distance covered by the second car = y * 5

Total distance = x * 4 + y * 5

Distance covered by the first car after one hour = x * 1 Distance covered by the second car after one hour = y * 1

Fraction of the total distance covered after one hour = (Distance covered by the first car after one hour + Distance covered by the second car after one hour) / Total distance

Let's substitute the values and calculate the fraction.

Calculation

Given: One car completes the journey in 4 hours. Another car completes the journey in 5 hours.

Let's assume the speed of the first car is x units per hour and the speed of the second car is y units per hour.

Distance covered by the first car = x * 4 Distance covered by the second car = y * 5

Total distance = x * 4 + y * 5

Distance covered by the first car after one hour = x * 1 Distance covered by the second car after one hour = y * 1

Fraction of the total distance covered after one hour = (Distance covered by the first car after one hour + Distance covered by the second car after one hour) / Total distance

Let's substitute the values and calculate the fraction.

Calculation

Given: One car completes the journey in 4 hours. Another car completes the journey in 5 hours.

Let's assume the speed of the first car is x units per hour and the speed of the second car is y units per hour.

Distance covered by the first car = x * 4 Distance covered by the second car = y * 5

Total distance = x * 4 + y * 5

Distance covered by the first car after one hour = x * 1 Distance covered by the second car after one hour = y * 1

Fraction of the total distance covered after one hour = (Distance covered by the first car after one hour + Distance covered by the second car after one hour) / Total distance

Let's substitute the values and calculate the fraction.

Calculation

Given: One car completes the journey in 4 hours. Another car completes the journey in 5 hours.

Let's assume the speed of the first car is x units per hour and the speed of the second car is y units per hour.

Distance covered by the first car = x * 4 Distance covered by the second car = y * 5

Total distance = x * 4 + y * 5

Distance covered by the first car after one hour = x * 1 Distance covered by the second car after one hour = y * 1

Fraction of the total distance covered after one hour = (Distance covered by the first car after one hour + Distance covered by the second car after one hour) / Total distance

Let's substitute the values and calculate the fraction.

Calculation

Given: One car completes the journey in 4 hours. Another car completes the journey in 5 hours.

Let's assume the speed of the first car is x units per hour and the speed of the second car is y units per hour.

Distance covered by the first car = x * 4 Distance covered by the second car = y * 5

Total distance = x * 4 + y * 5

Distance covered by the first car after one hour = x * 1 Distance covered by the second car after one hour = y * 1

Fraction of the total distance covered after one hour = (Distance covered by the first car after one hour + Distance covered by the second car after one hour) / Total distance

Let's substitute the values and calculate the fraction.

Calculation

Given: One car completes the journey in 4 hours. Another car completes the journey in 5 hours.

Let's assume the speed of the first car is x units per hour and the speed of the second car is y units per hour.

Distance covered by the first car = x * 4 Distance covered by the second car = y * 5

Total distance = x * 4 + y * 5

Distance covered by the first car after one hour = x * 1 Distance covered by the second car after one hour = y * 1

Fraction of the total distance covered after one hour = (Distance covered by the first car after one hour + Distance covered by the second car after one hour) / Total distance

Let's substitute the values and calculate the fraction.

Calculation

Given: One car completes the journey in 4 hours. Another car completes the journey in 5 hours.

Let's assume the speed of the first car is x units per hour and the speed of the second car is y units per hour.

Distance covered by the first car = x * 4 Distance covered by the second car = y * 5

Total distance = x * 4 + y * 5

Distance covered by the first car after one hour = x * 1 Distance covered by the second car after one hour = y * 1

Fraction of the total distance covered after one hour = (Distance covered by the first car after one hour + Distance covered by the second