Question

Из 2 городов расстояние между которыми 540 км навстречу друг другу выехали два автомобиля Через 4 часа они встретились скорость первого автомобиля 65 км ч Найдите скорость второго автомобиля. помогите решить вторым способом

Answer 1

1)4×65=260км
2)540-260=280км
3)280÷4=70км/ч

Answer 2

1 автомобиль за 4 часа проехал
4×65=260км
2 автомобиль проехал расстояние
540-260=280км
2 автомоб.ехал со скоростью
280÷4=70км.час

Answer 3

Problem Analysis

We are given that two cars start from two different cities and travel towards each other. The distance between the cities is 540 km. After 4 hours, the cars meet each other. We are also given the speed of the first car, which is 65 km/h. We need to find the speed of the second car.

Solution

Let's assume the speed of the second car is v km/h.

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

The first car travels at a speed of 65 km/h for 4 hours, so the distance traveled by the first car is: distance1 = speed1 × time1 = 65 km/h × 4 hours = 260 km.

The second car travels at a speed of v km/h for 4 hours, so the distance traveled by the second car is: distance2 = speed2 × time2 = v km/h × 4 hours = 4v km.

Since the total distance between the two cities is 540 km, the sum of the distances traveled by both cars should be equal to 540 km: distance1 + distance2 = 540 km.

Substituting the values of distance1 and distance2, we get: 260 km + 4v km = 540 km.

Now we can solve this equation to find the value of v.

Solving the Equation

To solve the equation 260 km + 4v km = 540 km, we can subtract 260 km from both sides of the equation: 4v km = 540 km - 260 km.

Simplifying the right side of the equation, we get: 4v km = 280 km.

Finally, we can divide both sides of the equation by 4 to solve for v: v km = 280 km / 4.

Calculating the value of v, we find: v = 70 km/h.

Answer

Therefore, the speed of the second car is 70 km/h.

Conclusion

In this problem, we used the formula distance = speed × time to find the speed of the second car. By setting up an equation and solving it, we determined that the speed of the second car is 70 km/h.