Question

Из двух поселков одновременно выехали навстречу друг другу 2 мотоциклиста. Через одну треть часа они встретились. Сколько времени был в пути каждый? С какой скоростью двигался каждый мотоциклист, если первый проехал до встречи 20 км, а второй- км? На какое расстояние мотоциклисты приближались друг к другу за 1 мин?

Answer 1

20 + 40 = 60 км\ч    60 км \ 60 мин = 1 км  - на 1 км приближались они друг к другу за минуту1\3 часа = 20 мин  был в пути каждый 20 км * 3 = 60 км \ч - скорость первого40 * 3 = 120 км\ч -скорость второго

Answer 2

Problem Analysis

To solve this problem, we need to find the time each motorcyclist spent traveling, their respective speeds, and the distance at which they approached each other per minute.

Time Spent Traveling

Let's denote the time spent traveling by the first motorcyclist as t1 and the time spent traveling by the second motorcyclist as t2.

Given that they met after one-third of an hour, we can express this as an equation: t1 = t2 + 1/3

Distance Traveled

The distance traveled by the first motorcyclist is 20 km, and the distance traveled by the second motorcyclist is 10 km.

Approach Distance per Minute

We need to find the distance at which the motorcyclists approached each other per minute.

Speed Calculation

We also need to calculate the speed at which each motorcyclist was traveling.

Solution

Let's start by calculating the time spent traveling by each motorcyclist and then proceed to find their speeds and the distance at which they approached each other per minute.

Time Spent Traveling

Using the given information, we can calculate the time spent traveling by each motorcyclist: t1 = t2 + 1/3

Distance Traveled

The first motorcyclist traveled 20 km, and the second motorcyclist traveled 10 km.

Approach Distance per Minute

We need to find the distance at which the motorcyclists approached each other per minute.

Speed Calculation

We also need to calculate the speed at which each motorcyclist was traveling.

Let's proceed with the calculations.