Question

Из пункта А в пункт В, расстояние между которыми 50км, одновременно выехали автомобилист и велосипедист. Известно, что в час автомобилист проезжает на 65км больше, чем велосипедист. Определите скорость велосипедиста, если известно, что он прибыл в пункт В на 4часа 20 минут позже автомобилиста. Ответ дайте вкм/ч.

Answer 1

4 часа 20мин=4 1/3 часа

Answer 2

Problem Analysis

We are given that a car and a cyclist simultaneously left point A and are traveling towards point B, which is 50 km away. It is known that the car travels 65 km/h faster than the cyclist. We need to determine the speed of the cyclist if we know that the cyclist arrived at point B 4 hours and 20 minutes later than the car.

Solution

Let's assume the speed of the cyclist is v km/h. Since the car travels 65 km/h faster than the cyclist, the speed of the car is v + 65 km/h.

We can use the formula distance = speed × time to calculate the time taken by each of them to travel from point A to point B.

The time taken by the cyclist is given by: time taken by cyclist = distance / speed of cyclist

The time taken by the car is given by: time taken by car = distance / speed of car

We are given that the cyclist arrived at point B 4 hours and 20 minutes later than the car. We can convert this time to hours by dividing it by 60 (since there are 60 minutes in an hour) and add it to the time taken by the car.

Let's calculate the time taken by the cyclist and the car:

time taken by cyclist = 50 / v (in hours)

time taken by car = 50 / (v + 65) (in hours)

We can set up the equation:

time taken by cyclist = time taken by car + 4.33 (4 hours and 20 minutes converted to hours)

Now, we can substitute the values and solve for v:

50 / v = 50 / (v + 65) + 4.33

Simplifying the equation:

50(v + 65) = 50v + 4.33(v + 65)

Solving for v:

50v + 3250 = 50v + 4.33v + 282.45

3250 = 4.33v + 282.45

4.33v = 3250 - 282.45

4.33v = 2967.55

v = 2967.55 / 4.33

v ≈ 685.15

Therefore, the speed of the cyclist is approximately 685.15 km/h.

Answer

The speed of the cyclist is approximately 685.15 km/h.