Question

Из двух городалв расстояние между которыми 110 км одновременно в противоположиных направлениях выехали два автобуса первый автобус со скоростью 60км в час с какой скоростью ехал второй автобус если через 3ч после выезда расстояние между ними было равно 500км?

Answer 1

500-110=390км проехали автобусы
390:3=130км/час скорость удаления (сумма скоростей)
130-60=70км/час скорость второго автобуса

Answer 2

Problem Analysis

We have two buses that start at the same time from two cities that are 110 km apart in opposite directions. The first bus travels at a speed of 60 km/h. We need to find the speed at which the second bus is traveling if, after 3 hours, the distance between them is 500 km.

Solution

Let's assume the speed of the second bus is x km/h.

After 3 hours, the first bus has traveled a distance of 60 km/h * 3 h = 180 km. The second bus has also traveled for 3 hours, so it has covered a distance of x km/h * 3 h = 3x km.

The total distance between the two buses after 3 hours is the sum of the distances covered by each bus: 180 km + 3x km = 500 km.

To find the speed of the second bus, we can solve this equation for x.

Calculation

Let's solve the equation 180 km + 3x km = 500 km for x:

180 km + 3x km = 500 km

Subtract 180 km from both sides:

3x km = 500 km - 180 km

3x km = 320 km

Divide both sides by 3:

x km = 320 km / 3

x km ≈ 106.67 km/h

Answer

The second bus is traveling at a speed of approximately 106.67 km/h.

Please note that the answer is an approximation since the exact value of x is a repeating decimal.

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