Question

По просёлочной дороге велосипедист едет со скоростью x км\ч, а по шоссе в 3 раза быстрее.Запишите на математическом языке.за 3 часа езды по шоссе велосипедист проехал на 35 км больше,чем за 2 часа проселочной дороге.

Answer 1

А) 3х
б)9х-35=2х, т к 3*3х-35=2х
Я сразу вычислил и написал 9х

Answer 2

Mathematical Representation of the Problem

The problem states that a cyclist travels at a speed of x km/h on a country road and three times faster on a highway. Let's represent the speed on the country road as x km/h and the speed on the highway as 3x km/h.

Distance Traveled

The problem also mentions that in 3 hours on the highway, the cyclist traveled 35 km more than in 2 hours on the country road. We can represent the distance traveled on the country road as 2x (since time is 2 hours and speed is x km/h) and the distance traveled on the highway as 3 * 3x (since time is 3 hours and speed is 3x km/h).

Equation for the Problem

We can now set up an equation based on the given information: 3 * 3x - 2x = 35

Solving the Equation

Solving the equation will give us the value of x, which represents the speed on the country road.

Let's solve the equation: 3 * 3x - 2x = 35 9x - 2x = 35 7x = 35 x = 5

So, the speed on the country road is 5 km/h and the speed on the highway is 15 km/h.

This mathematical representation and solution are based on the given problem and the calculations are derived from the provided information.