Question

Между домами, в которых живут Леонид и Виктор, лежит прямая дорога длиной 450 км. Друзья договорились встретиться в кафе, расположенном возле этой дороги между их домами. Леонид выехал из дома на маршрутном такси, а Виктор - на легковом автомобиле, скорость которого на 16 км/ч больше, чем скорость маршрутного такси. Известно, что каждый из друзей потратил на дорогу 3ч. Определи скорость маршрутного такси и скорость легкового автомобиля.

Answer 1

Ответ:

67 и 83 км/час

Пошаговое объяснение:

S = 450 км.

Пусть скорость таксиV 1 =  Х км/час

а скорость авто V2 =  Х +16 км/час

Встречное движение V = V1+V2 = 2 X +16

T = 3 часа

Определим Х

V =S/t

2 x +16 = 450/3

2 x +16 = 150

2 x = 134

x = 67 км/час - скорость такси

67 + 16 = 83 км/час - скорость авто.

Проверим

67*3 = 201 км

83*3 = 249 км

Всего 450 км.

Answer 2

Problem Analysis

We are given that Leonid and Viktor live in houses that are separated by a straight road that is 450 km long. They have agreed to meet at a cafe located on this road between their houses. Leonid took a route taxi, while Viktor drove a car that is 16 km/h faster than the route taxi. Both friends spent 3 hours on the road. We need to determine the speed of the route taxi and the speed of Viktor's car.

Solution

Let's assume the speed of the route taxi is x km/h. Since Viktor's car is 16 km/h faster, its speed can be represented as x + 16 km/h.

We know that the distance traveled by both friends is the same, which is 450 km. We can use the formula distance = speed × time to set up two equations:

For Leonid: x × 3 = 450

For Viktor: (x + 16) × 3 = 450

Now, let's solve these equations to find the values of x and x + 16.

Calculation

From the first equation, we have: 3x = 450 Dividing both sides by 3: x = 150

Substituting the value of x into the second equation, we have: (150 + 16) × 3 = 450 Simplifying: 166 × 3 = 450 498 = 450

Answer

The speed of the route taxi is 150 km/h, and the speed of Viktor's car is 166 km/h.