Question

Легковая машина в час проезжает 1/10 расстояния между городами. а грузовая - 1/12 этого расстояния. На какую часть этого расстояния в час будут сближаются машины при движении навстречу друг другу?

Answer 1

1) 1/10+1/12=6/60+5/60=11/60 ( будут сближаться машины за час, при движении  друг к другу).

Answer 2

Problem Analysis

We are given that a car travels 1/10th of the distance between two cities in one hour, while a truck travels 1/12th of the distance in one hour. We need to determine the fraction of the distance that the vehicles will approach each other in one hour when they are moving towards each other.

Solution

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

The car travels 1/10th of the distance in one hour, so its speed is (1/10)D per hour.

Similarly, the truck travels 1/12th of the distance in one hour, so its speed is (1/12)D per hour.

When the car and truck are moving towards each other, their speeds are additive. Therefore, the combined speed of the car and truck is (1/10)D + (1/12)D = (6/60)D + (5/60)D = (11/60)D per hour.

To find the fraction of the distance that the vehicles will approach each other in one hour, we need to divide their combined speed by the total distance D.

Let's calculate the fraction:

Fraction = (Combined Speed) / (Total Distance) = ((11/60)D) / D = 11/60

Therefore, the vehicles will approach each other by 11/60 of the total distance in one hour when moving towards each other.

Answer

The vehicles will approach each other by 11/60 of the total distance in one hour when moving towards each other.