Question

Из одного города в другой выехал автобус со скоростью 56 2/5 км/ч.Через 1ч вслед за ним выехала шёлковая машина.Через 2ч она догнала автобус и отъехала от него на расстояние 10км.Найдите скорость легковой машины.

Answer 1

Машина проехала расстояние до автобуса: (56 2/5 * 3) + 10 = 179 1/5 км

Скорость машины: (179 1/5) / 2 = 89 3/5 км/ч

Answer 2

Problem Analysis

We are given that a bus travels from one city to another at a speed of 56 2/5 km/h. After 1 hour, a silk car starts from the same city and catches up to the bus after 2 hours. The car then travels an additional 10 km ahead of the bus. We need to find the speed of the car.

Solution

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

After 1 hour, the bus has traveled 56 2/5 km.

After 2 hours, the bus has traveled 2 * (56 2/5) = 112 4/5 km.

At this point, the car catches up to the bus and is 10 km ahead of it.

Therefore, the distance traveled by the car is 112 4/5 + 10 = 122 4/5 km.

We can set up the following equation to solve for the speed of the car:

122 4/5 = x * 2

To solve this equation, we can convert the mixed number to an improper fraction:

122 4/5 = (5 * 122 + 4) / 5 = 614/5

Now we can solve for x:

614/5 = 2x

Dividing both sides by 2:

x = (614/5) / 2 = 614/10 = 61.4 km/h

Therefore, the speed of the car is 61.4 km/h.

Answer

The speed of the car is 61.4 km/h.