Question

Задача. Первый вертолёт пролетел 480 километров,а второй-800 километров.Первый вертолёт был в полёте на 2 часа меньше,чем второй.Сколько часов был в полёте каждый вертолёт,если их скорости были одинаковыми?

Answer 1

1) 800-480=320
2)320:2=160
3)480:160=3 часа летел первый
4)800:160=5 часов летел второй

Ответ: первый вертолёт был в полёте 3 часа, а второй 5 часов

Answer 2

Problem Analysis

We are given two helicopters, where the first helicopter flew 480 kilometers and the second helicopter flew 800 kilometers. The first helicopter was in flight for 2 hours less than the second helicopter. We need to determine the duration of the flight for each helicopter, assuming they have the same speed.

Solution

Let's assume the speed of both helicopters is x kilometers per hour.

We can use the formula: distance = speed × time to find the time of flight for each helicopter.

For the first helicopter: - Distance = 480 kilometers - Speed = x kilometers per hour - Time = t hours (unknown)

For the second helicopter: - Distance = 800 kilometers - Speed = x kilometers per hour - Time = t + 2 hours (since the first helicopter was in flight for 2 hours less)

Using the formula, we can set up the following equations:

1. For the first helicopter: 480 = x × t 2. For the second helicopter: 800 = x × (t + 2)

We can solve this system of equations to find the values of x and t.

Solving the Equations

To solve the system of equations, we can use substitution or elimination.

Let's solve it using substitution:

From equation 1, we can express x in terms of t: x = 480 / t

Substituting this value of x into equation 2, we get:

800 = (480 / t) × (t + 2)

Simplifying the equation:

800 = 480 + 960 / t

Multiplying through by t to eliminate the fraction:

800t = 480t + 960

Rearranging the equation:

320t = 960

Dividing both sides by 320:

t = 3

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

480 = x × 3

Simplifying the equation:

480 = 3x

Dividing both sides by 3:

x = 160

Answer

Therefore, the first helicopter was in flight for 3 hours and the second helicopter was in flight for 5 hours. Both helicopters had a speed of 160 kilometers per hour.

Please let me know if anything is unclear or if you need further assistance!