Question

из 2 городов на встречу выехали 2 машины скорость одного 49,6км/ч а у другова на 3,7км/ч больше через сколько они встретятся если расстояние мешду городами 257,25 км

Answer 1

1) 49,6 +3,7 =53,3 км/ч скорость 2 машины

2) 49,6 + 53,3 =102,9 км/ч скорость сближения

3) 257,25 : 102,9 = через 2,5 часа машины встретятся

Answer 2

Problem Analysis

We are given that two cars are traveling from two different cities to meet each other. The speed of one car is 49.6 km/h, while the speed of the other car is 3.7 km/h faster. We need to determine how long it will take for the cars to meet if the distance between the cities is 257.25 km.

Calculation

To solve this problem, we can use the formula: time = distance / speed.

Let's denote the speed of the first car as v1 and the speed of the second car as v2. We are given that v2 = v1 + 3.7.

The time it takes for the first car to travel the distance is t1 = distance / v1. The time it takes for the second car to travel the distance is t2 = distance / v2.

Since the cars are traveling towards each other, the total time it takes for them to meet is t = t1 + t2.

Substituting the given values, we have: t1 = 257.25 / 49.6 t2 = 257.25 / (49.6 + 3.7)

Now we can calculate the total time t.

Calculation Steps

1. Calculate the time it takes for the first car to travel the distance: - t1 = 257.25 / 49.6

2. Calculate the time it takes for the second car to travel the distance: - t2 = 257.25 / (49.6 + 3.7)

3. Calculate the total time it takes for the cars to meet: - t = t1 + t2

Calculation Results

Let's calculate the values:

1. Calculate the time it takes for the first car to travel the distance: - t1 = 257.25 / 49.6 = 5.19 hours

2. Calculate the time it takes for the second car to travel the distance: - t2 = 257.25 / (49.6 + 3.7) = 4.76 hours

3. Calculate the total time it takes for the cars to meet: - t = t1 + t2 = 5.19 + 4.76 = 9.95 hours

Therefore, the two cars will meet after approximately 9.95 hours.

Answer

The two cars will meet after approximately 9.95 hours.

Please let me know if I can help you with anything else.