Question

Из двух городов одновременно навстречу друг другу выехали две машины. Она машина проезжает за час 1/5 расстояния между городами а другая 1/3 какая часть расстояние будет между машинами через час после выезда.

Answer 1

Расстояние между городами = х
1/5(х) проедет одна машина
1/3(х) проедет вторая машина
Вместе они проедут 1/5х + 1/3х = 3/15х +5/15х = 8/15(х)
х - 8/15(х) = 7/15(х)= 0,4(6)х
Ответ 0,4(6)х будет расстояние между машинами через час после выезда.

Answer 2

Problem Analysis

We have two cars that start from two different cities and are traveling towards each other. One car travels 1/5 of the distance between the cities in one hour, while the other car travels 1/3 of the distance in one hour. We need to determine the fraction of the distance between the cars after one hour.

Solution

Let's assume the total distance between the two cities is D.

The first car travels 1/5 of the distance in one hour, so it covers 1/5 * D in one hour.

The second car travels 1/3 of the distance in one hour, so it covers 1/3 * D in one hour.

To find the fraction of the distance between the cars after one hour, we need to subtract the distance covered by the second car from the distance covered by the first car.

The fraction of the distance between the cars after one hour is given by:

Fraction = (1/5 * D) - (1/3 * D)

Simplifying the expression:

Fraction = (3/15 * D) - (5/15 * D)

Fraction = (3D - 5D) / 15

Fraction = -2D / 15

Therefore, the fraction of the distance between the cars after one hour is -2D / 15.

Please note that the negative sign indicates that the second car is ahead of the first car after one hour.

Answer

The fraction of the distance between the two cars after one hour is -2D / 15.

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