Question

мотоциклист выехал из А в Б, Если он будет ехать по 50 км/ч , то опоздает на 2 часа, а если же будет ехать по 65 км/ч то прибудет на час раньше срока, Каково расстояние между А и Б и сколько часов он должен ехать, чтобы прибыть точно в срок

Answer 1

Пусть х - это время, когда он должен приехать, тогда

50 * (х + 2) = 65 * (х - 1)

50х + 100 = 65х - 65

-15х + 165 = 0

15х = 165

х = 11(ч.)

______________

 50 * (11 + 2) = 50 * 13 = 650(км) - S между пунктами А и Б

Ответ: 650км

Answer 2

Problem Analysis

We are given that a motorcyclist travels from point A to point B. If the motorcyclist travels at a speed of 50 km/h, they will be 2 hours late. However, if they travel at a speed of 65 km/h, they will arrive 1 hour earlier than expected. We need to find the distance between points A and B and determine how long the motorcyclist should travel to arrive exactly on time.

Solution

Let's assume that the distance between points A and B is d km.

If the motorcyclist travels at a speed of 50 km/h, they will be 2 hours late. This means that the time taken to travel from A to B at this speed is (d/50) + 2 hours.

If the motorcyclist travels at a speed of 65 km/h, they will arrive 1 hour earlier than expected. This means that the time taken to travel from A to B at this speed is (d/65) - 1 hours.

To find the distance between points A and B, we can set up the following equation:

(d/50) + 2 = (d/65) - 1

Simplifying the equation, we get:

(d/50) - (d/65) = -3

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

((13d - 10d) / (50 * 65)) = -3

((3d) / (3250)) = -3

Multiplying both sides of the equation by 3250, we get:

3d = -9750

Dividing both sides of the equation by 3, we get:

d = -3250

Since distance cannot be negative, there seems to be an error in the given information or the problem setup. Please double-check the values provided.

If you have any further questions, feel free to ask!