Question

Теплоход проплыл вниз по реке x км за 3ч , а на обратный путь он затратил 4ч.На сколько мкньше была его скорость на обратном пути? Решение.

Answer 1

1)x:3(км/ч)-скорость первого пути
2)x:4(км/ч)-скорость второго пути
3)?-?(км/ч)
Ответ:на ? меньше была его скорость на обратном пути.

Answer 2

Problem Analysis

We are given that a boat traveled downstream on a river for x kilometers in 3 hours, and then it took 4 hours to travel back upstream. We need to find the difference in the boat's speed on the return trip compared to the downstream trip.

Solution

Let's assume the boat's speed downstream is v km/h. Since the boat traveled x kilometers downstream in 3 hours, we can set up the equation:

x = v * 3 Similarly, let's assume the boat's speed upstream is u km/h. Since the boat traveled x kilometers upstream in 4 hours, we can set up the equation:

x = u * 4 To find the difference in the boat's speed on the return trip, we need to subtract the speed upstream from the speed downstream:

Difference in speed = v - u

To solve for the difference in speed, we can substitute the values of x from equations and solve for v and u.

From equation we have:

x = v * 3

Simplifying, we get:

v = x / 3

Similarly, from equation we have:

x = u * 4

Simplifying, we get:

u = x / 4

Substituting these values into the difference in speed equation, we get:

Difference in speed = (x / 3) - (x / 4)

Simplifying further, we get:

Difference in speed = (4x - 3x) / 12

Simplifying, we get:

Difference in speed = x / 12

Therefore, the boat's speed on the return trip is x / 12 km/h slower than its speed downstream.

Answer

The boat's speed on the return trip is x / 12 km/h slower than its speed downstream.