Question

Задача.Из города одновременно в противоположных направлениях выехали два автомобилиста. Скорость первого автомобилиста 82, 4 км\ч, а скорость второго 76,3 км\чЧерез сколько часов расстояние между ними будет ровно 126, 96 км?Со схемой)))

Answer 1

126,96 : (82,4+76,3) =126,96 : 158,7 = 0,8 ч = 48 минут

Answer 2

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Answer 3

Problem Analysis

We have two cars that start simultaneously from a city and travel in opposite directions. The speed of the first car is 82.4 km/h, and the speed of the second car is 76.3 km/h. We need to determine how many hours it will take for the distance between them to be exactly 126.96 km.

Solution

To solve this problem, we can use the formula: distance = speed × time. We can set up two equations, one for each car, and solve them simultaneously to find the time it takes for the distance between them to be 126.96 km.

Let's assume that the time taken by both cars is 't' hours.

For the first car: - Speed = 82.4 km/h - Distance = 82.4t km

For the second car: - Speed = 76.3 km/h - Distance = 76.3t km

According to the problem, the sum of the distances traveled by both cars should be equal to 126.96 km. Therefore, we can set up the following equation:

82.4t + 76.3t = 126.96

Simplifying the equation:

158.7t = 126.96

Dividing both sides by 158.7:

t = 126.96 / 158.7

Calculating the value of 't':

t ≈ 0.799 hours

Therefore, it will take approximately 0.799 hours (or 47.94 minutes) for the distance between the two cars to be exactly 126.96 km.

Calculation Steps

1. Set up the equation: 82.4t + 76.3t = 126.96 2. Simplify the equation: 158.7t = 126.96 3. Divide both sides by 158.7: t = 126.96 / 158.7 4. Calculate the value of 't': t ≈ 0.799 hours

Answer

It will take approximately 0.799 hours (or 47.94 minutes) for the distance between the two cars to be exactly 126.96 km.

I hope this helps! Let me know if you have any further questions.