Question

Поселка А в поселок Б выехал велосипедист со скоростью 16 километров час. через два часа ему навстречу и из б в а вышел пешеход, скорость которого составляет 35% скорости велосипедиста. через 1,5 часа после выхода пешехода расстояние между ним и велосипедистом стало равно 10 целых 8 км Каково расстояние между поселками А и Б

Answer 1

1) Скорость пешехода
V2 = 16 * 35% = 16*0.35 = 5.6 км/ч.
2) Путь велосипедиста до старта пешехода
S1 = 16 * 2 = 32 км/ч - только велосипедист.
3)  Путь совместно с пешеходом за 1,5 ч.
S2 = (16 + 5.6)*1.5) = 21.6*1.5 = 32.4 км - прошли вместе.
4) Расстояние между пунктами А и В.
S = 32 + 32.4 + 10.8 = 75.2 км - расстояние АВ - ОТВЕТ.

Answer 2

Problem Analysis

We are given the following information: - A cyclist travels from village A to village B at a speed of 16 kilometers per hour. - After two hours, a pedestrian starts walking from village B to village A at a speed that is 35% of the cyclist's speed. - After 1.5 hours of the pedestrian's start, the distance between them becomes 10 kilometers and 8 meters.

We need to find the distance between village A and village B.

Solution

Let's break down the problem step by step:

1. Calculate the distance traveled by the cyclist in 2 hours. 2. Calculate the speed of the pedestrian. 3. Calculate the distance traveled by the pedestrian in 1.5 hours. 4. Calculate the total distance between the cyclist and the pedestrian after 1.5 hours. 5. Calculate the distance between village A and village B.

Step 1: Calculate the distance traveled by the cyclist in 2 hours

The distance traveled by an object can be calculated using the formula:

distance = speed × time

Given that the cyclist's speed is 16 kilometers per hour and the time is 2 hours, we can calculate the distance traveled by the cyclist in 2 hours.

distance_cyclist = 16 km/h × 2 h

Calculating the above expression, we find:

distance_cyclist = 32 km

Step 2: Calculate the speed of the pedestrian

The pedestrian's speed is given as 35% of the cyclist's speed. We can calculate the pedestrian's speed using the following formula:

speed_pedestrian = 35% × speed_cyclist

Substituting the value of the cyclist's speed, we get:

speed_pedestrian = 35% × 16 km/h

Calculating the above expression, we find:

speed_pedestrian = 5.6 km/h

Step 3: Calculate the distance traveled by the pedestrian in 1.5 hours

Using the same formula as in Step 1, we can calculate the distance traveled by the pedestrian in 1.5 hours.

distance_pedestrian = speed_pedestrian × time

Substituting the values, we get:

distance_pedestrian = 5.6 km/h × 1.5 h

Calculating the above expression, we find:

distance_pedestrian = 8.4 km

Step 4: Calculate the total distance between the cyclist and the pedestrian after 1.5 hours

The total distance between the cyclist and the pedestrian after 1.5 hours is the difference between the distance traveled by the cyclist and the distance traveled by the pedestrian.

total_distance = distance_cyclist - distance_pedestrian

Substituting the values, we get:

total_distance = 32 km - 8.4 km

Calculating the above expression, we find:

total_distance = 23.6 km

Step 5: Calculate the distance between village A and village B

The distance between village A and village B is twice the total distance between the cyclist and the pedestrian after 1.5 hours.

distance_AB = 2 × total_distance

Substituting the value of the total distance, we get:

distance_AB = 2 × 23.6 km

Calculating the above expression, we find:

distance_AB = 47.2 km

Therefore, the distance between village A and village B is 47.2 kilometers.