Question

Туристы прошли некоторое расстояние со скоростью 4км/ч и такое же расстояние проплыли на лодке со скоростью 6км/ч. На весь этот путь было потрачено 5 часов. Какой путь преодолели туристы пешком и на лодке ?

Answer 1

Примем за х расстояние
тогда Х/4км/ч    столько  времени прошли туристы пешком  
х/6  км/час столько времени проплыли на лодке 
А всего в пути 5 часов
х/4+Х/6=5
3х+2х=5*12
5х=60
х=12  км расстояние

проверим 
12 : 4= 3 часа шли пешком 

12 :6= 2часа  плыли на лодке 
все время в пути-5 часов 

Answer 2

Problem Analysis

We are given that a group of tourists traveled a certain distance on foot at a speed of 4 km/h and the same distance by boat at a speed of 6 km/h. The total time taken for the entire journey was 5 hours. We need to determine the distance covered by the tourists on foot and by boat.

Solution

Let's assume the distance covered by the tourists on foot and by boat is d km.

We can use the formula time = distance / speed to calculate the time taken for each part of the journey.

The time taken to cover the distance on foot is d / 4 hours.

The time taken to cover the distance by boat is d / 6 hours.

According to the problem, the total time taken for the entire journey is 5 hours. Therefore, we can write the equation:

d / 4 + d / 6 = 5

To solve this equation, we can find a common denominator and combine the fractions:

(3d + 2d) / (4 * 6) = 5

5d / 24 = 5

Now, we can solve for d:

5d = 5 * 24

5d = 120

d = 120 / 5

d = 24

Therefore, the distance covered by the tourists on foot and by boat is 24 km.

Answer

The tourists covered a distance of 24 km on foot and by boat.

Explanation

The tourists traveled a certain distance on foot at a speed of 4 km/h, which took them d / 4 hours. They also covered the same distance by boat at a speed of 6 km/h, which took them d / 6 hours. The total time taken for the entire journey was 5 hours, so we can set up the equation d / 4 + d / 6 = 5. Solving this equation, we find that the distance covered by the tourists on foot and by boat is 24 km.