Question

Машина ехала t2 со скоростью 65 км/ч , а со скоростью 53 км/ч на 2 часа меньше .Найти весь путь, если все время = 4 часа Нужно составить выражение,помогите(

Answer 1

Нужно составить уравнение ?? 

Answer 2

Problem Analysis

To solve this problem, we need to find the total distance traveled by a car that traveled at 65 km/h for a certain time and at 53 km/h for 2 hours less than the previous time. The total time of travel is 4 hours.

Solution

Let's denote the time traveled at 65 km/h as t1 and the time traveled at 53 km/h as t2. We are given the following information: - Speed at 65 km/h: v1 = 65 km/h - Speed at 53 km/h: v2 = 53 km/h - Total time of travel: t1 + t2 = 4 hours - Time difference: t2 = t1 - 2 hours

We can use the formula: distance = speed × time to find the distances traveled at each speed.

Calculations

Using the formula distance = speed × time, we can calculate the distances traveled at each speed.

The distance traveled at 65 km/h is given by: d1 = v1 × t1 The distance traveled at 53 km/h is given by: d2 = v2 × t2

Substitution

We can substitute the value of t2 in terms of t1 from the given time difference into the equation for d2.

d2 = v2 × (t1 - 2)

Total Distance

The total distance traveled is the sum of the distances traveled at each speed.

Total distance = d1 + d2

Let's calculate the total distance using the given information.

Total Distance Calculation

Using the given speeds and times, we can calculate the total distance traveled by the car.

d1 = 65t1 d2 = 53(t1 - 2) Substitute the values of d1 and d2 into the equation for the total distance.

Total distance = 65t1 + 53(t1 - 2)

Solving for t1: Total distance = 65t1 + 53t1 - 106

Simplifying: Total distance = 118t1 - 106

Final Calculation

Now, we can solve for t1 using the total time of travel.

Given: t1 + t2 = 4 hours

Substitute the value of t2 in terms of t1 from the given time difference into the equation.

t1 + (t1 - 2) = 4

Solving for t1: 2t1 - 2 = 4

2t1 = 6

t1 = 3 hours

Total Distance

Now that we have found t1, we can calculate the total distance traveled by the car.

Total distance = 118t1 - 106 Total distance = 118(3) - 106 Total distance = 354 - 106 Total distance = 248 km

Answer

The total distance traveled by the car is 248 kilometers.