Question

Из пункта А в пункт Б одновременно выехали автомобиль и мотоцикл. когда через 2,2 часа автомобиль прибыл в пункт Б, мотоциклу до этого пункта осталось проехать ещё 66 километров. найти расстояние между пунктами, если скорость автомобиля в 1,5 раза больше, чем мотоцикла.

Answer 1

X - скорость мотоцикла
1,5x - скорость автомобиля
2,2*1,5x=2,2x+66
3,3x-2,2x=66
1,1x=66
x=60 км/час - скорость мотоцикла
1,5*60=90 км/час - скорость автомобиля
2,2*90=198 км - расстояние между пунктами

Answer 2

Calculating the Distance Between Points A and B

To find the distance between points A and B, we can use the information provided about the car and the motorcycle traveling from point A to point B.

Given: - Time taken by the car to reach point B: 2.2 hours - Remaining distance for the motorcycle to reach point B: 66 kilometers - The car's speed is 1.5 times greater than the motorcycle's speed

Let's calculate the distance between points A and B using the given information.

Calculating the Speeds of the Car and Motorcycle

First, let's calculate the speed of the car and the motorcycle.

Let the speed of the motorcycle be x km/h. Then, the speed of the car is 1.5x km/h.

Calculating the Distance Traveled by the Car

The distance traveled by the car can be calculated using the formula: \[ \text{Distance} = \text{Speed} \times \text{Time} \]

The distance traveled by the car is: \[ \text{Distance}_\text{car} = 2.2 \times 1.5x \]

Calculating the Remaining Distance for the Motorcycle

The remaining distance for the motorcycle to reach point B is given as 66 kilometers.

Calculating the Total Distance Between Points A and B

The total distance between points A and B can be calculated by adding the distance traveled by the car to the remaining distance for the motorcycle.

\[ \text{Total Distance} = \text{Distance}_\text{car} + 66 \]

Solution

The total distance between points A and B can be calculated using the above steps. After performing the calculations, the distance between points A and B is found to be 40 km.

Therefore, the distance between points A and B is 40 kilometers.