Question

автобус проходит за 5 часов такое расстояние, как автомобиль за 3 часа. Найдите скорость автобуса, если она на 26 км /час меньше скорости автомобиля

Answer 1

пусть х км/ч -скорость автобуса,

тогда (х+26) км/ч -скорость автомоб.

5х км-расстояние, кот. проходит автобус за 5 ч

3(х+26) км-расстояние, кот. проходит автомоб. за 3 ч

5х=3(х+26)

2х=78

х=39 км/ч - скорость автобуса

х+26=65 км/ч - скорость автомоб. 

проверка:

39*5=195 км проходит автобус

65*=195 км проходит автомоб. 

Answer 2

Calculation of Bus Speed

To find the speed of the bus, we can use the formula: speed = distance / time.

Let's assume the distance covered by both the bus and the car is d kilometers.

According to the given information, the bus takes 5 hours to cover the distance, while the car takes 3 hours.

Using the formula, we can set up the following equations:

Bus speed = d / 5

Car speed = d / 3

We are also given that the bus speed is 26 km/h less than the car speed.

So, we can write the equation:

Bus speed = Car speed - 26

Now, let's solve these equations to find the speed of the bus.

Substituting the values of bus speed and car speed from the equations above, we get:

(d / 5) = (d / 3) - 26

To solve this equation, we can multiply both sides by 15 to eliminate the denominators:

3d = 5d - 390

Simplifying the equation, we get:

2d = 390

Dividing both sides by 2, we find:

d = 195

Therefore, the distance covered by both the bus and the car is 195 kilometers.

Now, we can substitute this value back into the equation for the bus speed:

Bus speed = 195 / 5 = 39 km/h

So, the speed of the bus is 39 km/h.