Question

Скутер за 3 часа преодолевает расстояние на 10 км большее, а велосипедист за 4 часа расстояние на 50 км меньшее, чем автомобиль за 1 час. определите скорость автомобиля, если известно, что скутер за 1 час проходит на 25 км больше велосипедиста

Answer 1

Скорость автомобиля VaЗа 1 час он проедет Va км. Скутер за 3 часа проедет (Va+10) кмСкорость скутера = Vс = (Va + 10)/3 км/ч Велосипедист за 4 часа проедет (Va -50) кмСкорость велосипедиста = Vв = (Va - 50)/4 км/ч (Va + 10)/3 = (Va - 50)/4 + 254Va + 40 = 3Va - 150 + 300Va = 150 - 40 = 110 Ответ: Скорость автомобиля 110 км/ч PS. в качестве бонуса - скорость скутера 40 км/ч, велосипедиста 15 км/ч

Answer 2

Problem Analysis

We are given the following information: - A scooter covers a distance 10 km greater than a car in 3 hours. - A cyclist covers a distance 50 km less than a car in 4 hours. - The scooter covers a distance 25 km greater than the cyclist in 1 hour.

We need to determine the speed of the car.

Solution

Let's assume the speed of the car is x km/h.

Based on the given information, we can calculate the speeds of the scooter and the cyclist.

The speed of the scooter is x + 10 km/h, and it covers a distance of 25 km more than the cyclist in 1 hour. Therefore, the speed of the cyclist is (x + 10) - 25 = x - 15 km/h.

Using the formula speed = distance / time, we can set up the following equations:

1. For the scooter: - Speed: x + 10 km/h - Time: 3 hours - Distance: (x + 10) * 3 km

2. For the cyclist: - Speed: x - 15 km/h - Time: 4 hours - Distance: (x - 15) * 4 km

3. For the car: - Speed: x km/h - Time: 1 hour - Distance: x * 1 km

Now, we can set up the equation based on the given information:

Distance covered by the scooter = Distance covered by the cyclist + 25 km

((x + 10) * 1) = ((x - 15) * 1) + 25

Simplifying the equation:

x + 10 = x - 15 + 25

x + 10 = x + 10

The equation is true for any value of x. This means that the speed of the car can be any value.

Therefore, we cannot determine the speed of the car based on the given information.

Conclusion

Based on the given information, we cannot determine the speed of the car. The speed of the car can be any value.