Question

Легковой и грузовой автомобили выехали одновременно из пункта А в противоположных направлениях.Через 2.5 ч расстояние между ними оказалось равным 372.6 км.Найдите скорость движения каждого автомобиля,если известно,что скорость грузового автомобиля, оказалась в 1.4 раза меньше скорости легкового.

Answer 1

Предположим что скорость грузового автомобиля х.

Легкового автомобиля тогда будет 1,4х

Их общая скорость удаления х + 1,4 х=372,6 :2,5

х + 1,4 х = 372,6 :2,5

2,4 х = 149,04

х = 149,04 / 2,4

х=61,2-скорость грузовика

 

62,1 * 1,4 =86,94 (км/ч) - скорость легкового автомобиля

Answer 2

Problem Analysis

We are given that a passenger car and a truck start simultaneously from point A in opposite directions. After 2.5 hours, the distance between them is 372.6 km. We need to find the speed of each vehicle, knowing that the speed of the truck is 1.4 times less than the speed of the passenger car.

Solution

Let's assume the speed of the passenger car is x km/h. Since the speed of the truck is 1.4 times less than the speed of the passenger car, the speed of the truck is 0.6x km/h.

We can use the formula distance = speed × time to find the distance traveled by each vehicle.

For the passenger car: distance = speed × time 372.6 km = x km/h × 2.5 h

For the truck: distance = speed × time 372.6 km = 0.6x km/h × 2.5 h

Now we can solve these two equations to find the values of x and 0.6x.

Calculation

Let's solve the equations:

From the equation for the passenger car: 372.6 km = x km/h × 2.5 h

Simplifying the equation: 372.6 km = 2.5x km/h

Dividing both sides by 2.5: 149.04 km/h = x km/h

So, the speed of the passenger car is 149.04 km/h.

Now, let's find the speed of the truck:

From the equation for the truck: 372.6 km = 0.6x km/h × 2.5 h

Simplifying the equation: 372.6 km = 1.5x km/h

Dividing both sides by 1.5: 248.4 km/h = x km/h

So, the speed of the truck is 248.4 km/h.

Answer

Therefore, the speed of the passenger car is 149.04 km/h and the speed of the truck is 248.4 km/h.

Please let me know if I can help you with anything else.