Question

Два автомобілі виїхали назустріч один одному з міст А та В, відстань між якими 270 км, і зустрілися через 2,5 год. Яку відстань пройшов перший автомобіль до зустрічі, якщо його швидкість на 10 км/год більша, ніж швидкість другого автомобіля? 59км 49км 147, 5км 148 км​

Answer 1

Ответ:150

Пошаговое объяснение:

S1 = (x + 10) * 2,5 = 150 км

Отже, перший автомобіль проїхав 150 км до зустрічі. Відповідь: 150 км.

Answer 2

Problem Analysis

We have two cars traveling towards each other from cities A and B, with a distance of 270 km between them. The cars meet after 2.5 hours. The first car is traveling 10 km/h faster than the second car. We need to determine the distance traveled by the first car before they meet.

Solution

Let's assume the speed of the second car is x km/h. Since the first car is traveling 10 km/h faster, its speed will be x + 10 km/h.

To find the distance traveled by the first car, we can use the formula: distance = speed × time.

The time traveled by both cars is the same, as they meet after 2.5 hours.

Let's calculate the distance traveled by the first car:

Distance traveled by the first car = (speed of the first car) × (time)

Distance traveled by the first car = (x + 10) × 2.5

Now we can solve the equation to find the value of x:

270 = (x + 10) × 2.5

Simplifying the equation:

270 = 2.5x + 25

2.5x = 270 - 25

2.5x = 245

x = 245 / 2.5

x = 98

Therefore, the speed of the second car is 98 km/h, and the speed of the first car is 98 + 10 =