Question

Две машины ехали с одинаковой скоростью.Одна прошла 400 км,а другая-480 км.Вторая была в пути на 2 ч меньше первой.Сколько часов была в пути каждая машина?

Answer 1

1) 480 - 400 = 80(км) пути за 2 часа
2) 80 : 2 = 40(км/ч) - скорость каждой машины
3) 400 : 40 = 10(час) была в пути 1-ая машина
4) 480 : 40 = 12(час)
Ответ: 10часов была в пути 1-ая машина;
           12 часов была в пути 2-ая машина.
:

Answer 2

Problem Analysis

We are given that two cars traveled at the same speed. One car traveled a distance of 400 km, while the other car traveled a distance of 480 km. The second car took 2 hours less time than the first car. We need to determine the amount of time each car was in motion.

Solution

Let's assume that the speed of both cars is x km/h.

The time taken by the first car to travel 400 km can be calculated using the formula time = distance / speed. Therefore, the time taken by the first car is 400 / x hours.

The time taken by the second car to travel 480 km can also be calculated using the same formula. However, we know that the second car took 2 hours less time than the first car. So, the time taken by the second car is (400 / x) - 2 hours.

To find the value of x, we can set up an equation using the given information that the second car traveled 480 km. Therefore, we have:

480 = x * [(400 / x) - 2]

Simplifying the equation, we get:

480 = 400 - 2x

Solving for x, we find:

x = 40 km/h

Now that we know the speed of the cars, we can calculate the time taken by each car.

The first car traveled 400 km at a speed of 40 km/h, so the time taken by the first car is 400 / 40 = 10 hours.

The second car traveled 480 km at the same speed of 40 km/h, but it took 2 hours less time than the first car. Therefore, the time taken by the second car is 10 - 2 = 8 hours.

Answer

The first car was in motion for 10 hours, and the second car was in motion for 8 hours.