Question

Две машины шли с одинаковой скоростью Первая прошла 400км а другая -480 км но в пути она была на 2 часа меньше первой...Сколько часов в пути была каждая машина.

Answer 1

1) 480-400=80(на 80 км больше проехала 2 машина)                                          2) 80:2=40(км/час) скорость машин                                                                    3) 400:40=10(часов) 1 машина                                                                             4) 480:40=12(часов) 2 машина                                                                           Ответ: ПЕрвая машина была в пути 10(часов), вторая машина 12 (часов)

Answer 2

Problem Analysis

We are given two cars that are traveling at the same speed. The first car has traveled a distance of 400 km, while the second car has traveled a distance of 480 km. However, the second car took 2 hours less time to reach its destination compared to the first car. We need to determine the travel time for each car.

Solution

Let's assume that the speed of both cars is v km/h and the time taken by the first car is t hours. Since the distance traveled by the first car is 400 km, we can write the equation:

Distance = Speed × Time

For the first car, this equation becomes:

400 = v × t ---(1)

Similarly, for the second car, the equation becomes:

480 = v × (t - 2) ---(2)

We can solve these two equations to find the values of v and t.

Solving the Equations

To solve the equations, we can use the method of substitution. We can rearrange equation (1) to solve for v:

v = 400 / t

Substituting this value of v into equation (2), we get:

480 = (400 / t) × (t - 2)

Simplifying further:

480 = 400 - 800 / t

Multiplying both sides by t:

480t = 400t - 800

Bringing all the terms to one side:

80t = 800

Dividing both sides by 80:

t = 10

Now that we have the value of t, we can substitute it back into equation (1) to find the value of v:

v = 400 / t = 400 / 10 = 40

Therefore, the speed of both cars is 40 km/h, and the travel time for the first car is 10 hours.

Answer

Based on the given information, the first car traveled for 10 hours and the second car traveled for 8 hours.