
Один самолет пролетел 3000 км, а другой 1800 км. первый самолет вылетел на 2 часа раньше второго.
скорость самолета одинакова. сколько часов летел каждый самолет?

Ответы на вопрос




Calculation of Flight Duration for Each Plane
To calculate the flight duration for each plane, we need to consider the distance traveled by each plane and the fact that the first plane took off 2 hours earlier than the second plane.
Let's denote the flight duration of the first plane as x hours and the flight duration of the second plane as y hours.
Given that the first plane flew a distance of 3000 km and the second plane flew a distance of 1800 km, we can set up the following equations:
1. For the first plane: x = 3000 km 2. For the second plane: y = 1800 km
Since the speed of both planes is the same, we can assume that the speed is constant. Therefore, we can use the formula distance = speed × time to calculate the flight duration.
Using this formula, we can rewrite the equations as:
1. For the first plane: 3000 km = speed × x hours 2. For the second plane: 1800 km = speed × y hours
Since the speed is the same for both planes, we can divide the equations to eliminate the speed variable:
3000 km / 1800 km = x hours / y hours
Simplifying the equation, we get:
5/3 = x/y
To find the values of x and y, we need to solve this equation.
Solving the Equation
To solve the equation 5/3 = x/y, we can cross-multiply:
5y = 3x
Now, we can substitute the value of x from the first equation into the second equation:
5y = 3(3000 km)
Simplifying further:
5y = 9000 km
Dividing both sides of the equation by 5:
y = 1800 km
Therefore, the second plane flew for 1800 km.
Now, we can substitute the value of y into the first equation to find the value of x:
x = 3000 km
Therefore, the first plane flew for 3000 km.
Flight Duration for Each Plane
Based on the calculations, the first plane flew for 3000 km and the second plane flew for 1800 km.
Please note that these calculations assume a constant speed for both planes and do not take into account any potential variations in speed or other factors that may affect the flight duration.


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