Question

ПОМОГИТЕ, ОТДАМ ВСЕ БАЛЛЫ Длина туристического маршрута составляет 400 км. Турист в течение 4 часов ехал на автобусе со скоростью 90 км/ч, затем двигался на самокате 30 минут со скоростью х км/ч. Оставшуюся часть пути он прошел пешком за 2 часа со скоростью. которая на 7 км/ч меньше скорости движения на самокате. Какова скорость движения на самокате? Составьте уравнение по условию задачи.​

Answer 1

Ответ:

21,6 км/ч скорость движения на самокате

Пошаговое объяснение:

4*90 - ехал на автобусе

30 мин=0,5 часа⇒0,5х - двигался на самокате

2(х-7) - шел пешком

4*90+0,5х+2*(х-7)=400

360+0,5х+2х-14=400

2,5х+346=400

2,5х=400-346

2,5х=54

х=54:2,5

х=21,6 км/ч скорость движения на самокате

Answer 2

Problem Analysis

To solve this problem, we need to find the speed at which the tourist traveled on a scooter. We are given that the total length of the tourist route is 400 km. The tourist traveled on a bus for 4 hours at a speed of 90 km/h, then on a scooter for 30 minutes at a speed of x km/h, and finally walked the remaining distance for 2 hours at a speed that is 7 km/h less than the speed on the scooter.

Solution

Let's solve this problem step by step.

Step 1: Convert the time traveled on the scooter from minutes to hours. The tourist traveled on the scooter for 30 minutes, which is equal to 30/60 = 0.5 hours.

Step 2: Calculate the distance traveled on the bus. The distance traveled on the bus can be calculated using the formula: distance = speed * time. Given that the speed on the bus is 90 km/h and the time traveled on the bus is 4 hours, we can calculate the distance traveled on the bus as follows: distance_bus = 90 km/h * 4 hours = 360 km.

Step 3: Calculate the distance traveled on foot. The distance traveled on foot can be calculated using the formula: distance = speed * time. Given that the time traveled on foot is 2 hours and the speed on foot is 7 km/h less than the speed on the scooter, we can represent the speed on the scooter as x km/h. Therefore, the speed on foot is (x - 7) km/h. We can calculate the distance traveled on foot as follows: distance_foot = (x - 7) km/h * 2 hours = 2(x - 7) km.

Step 4: Calculate the distance traveled on the scooter. The total distance traveled is 400 km. Therefore, the distance traveled on the scooter can be calculated as follows: distance_scooter = total distance - distance_bus - distance_foot 400 km = 360 km + 2(x - 7) km 400 km = 360 km + 2x km - 14 km 400 km - 360 km + 14 km = 2x km 54 km = 2x km 27 km = x km

Answer

The speed at which the tourist traveled on the scooter is 27 km/h.

Equation

The equation representing the problem is: 400 km = 360 km + 2(x - 7) km