Question

Помогите решить задачу срочно Самолёт с ревктивным двигателем пролетает 500 км на 8 мин быстрее, чем самолёт с поршневым двигателем пролетает 200 км.Найдите скорость самолёта с поршневым двигателем, если скорость реактивного самолёта в 3 раза больше скорости самолёта с поршневым двигателем.

Answer 1

пусть скорость самолета с поршневым двигателем х км\мин, тогда скорость рективного самолета 3х км\мин. 500 км самолет с реактивным двигателем пролетит за 500/(3х) мин, 200 км самолет с поршневым двигателем пролетит за 200/x мин. По условию задачи составляем уравнение

 

200/x-500/(3x)=8

200*3-500=8*3x

100=24x

x=100/24

 

значит скорость самолета с поршневім двигателем 100/24 км/мин или 100/24*60=250 км/ч

отвте: 250 км/ч

Answer 2

х км/ч скорость поршевого самолета

3х км/ч скорость реактивного самолета

200/х ч время затраченное поршневым самолетом на 200 км

500/3х ч время затраченное реактивным самолетом на 500 км

По условию известно, что самолёт с ревктивным двигателем пролетает 500 км на

8 мин = 8/60 = 2/15 ч быстрее, чем самолёт с поршневым двигателем пролетает 200 км. Составим уравнение:

200/х - 500/3х = 2/15 (умножим обе части на 30х)

200 * 30 - 500 * 10 = 4х

4х = 6000 - 5000

4х = 1000

х = 250

Ответ. 250 км/ч скорость самолета с порневым двигателем.

 

Answer 3

Problem Analysis

To solve this problem, we need to find the speed of the airplane with a piston engine given that the speed of the jet airplane is three times faster and it covers a distance of 500 km in 8 minutes more than the piston engine airplane covers a distance of 200 km.

Solution

Let's assume the speed of the piston engine airplane is x km/h. Since the speed of the jet airplane is three times faster, the speed of the jet airplane is 3x km/h.

We know that the jet airplane covers a distance of 500 km in 8 minutes less time than the piston engine airplane covers a distance of 200 km. Let's convert the time difference to hours for easier calculations.

8 minutes is equal to 8/60 = 0.1333 hours.

The time taken by the jet airplane to cover 500 km is the same as the time taken by the piston engine airplane to cover 200 km minus the time difference.

The formula to calculate time is distance divided by speed.

For the jet airplane: Time = Distance / Speed Time = 500 km / (3x) km/h Time = 500 / (3x) hours

For the piston engine airplane: Time = Distance / Speed Time = 200 km / x km/h Time = 200 / x hours

According to the given information, the time taken by the jet airplane is 8 minutes less than the time taken by the piston engine airplane.

So, we can set up the equation: 500 / (3x) = 200 / x - 0.1333

Now, let's solve this equation to find the value of x.

Calculation

To solve the equation, we can cross-multiply and simplify:

500 / (3x) = 200 / x - 0.1333

500x = 200(3x) - 0.1333(3x)

500x = 600x - 0.4x

500x - 600x = -0.4x

-100x = -0.4x

Dividing both sides by -0.4x:

-100 = -0.4

Since the equation is not true, there is no solution to this problem. It seems there might be an error in the given information or the problem itself.

Conclusion

Based on the given information, there is no solution to this problem. The equation derived from the problem does not have a valid solution. It is recommended to double-check the problem statement or seek clarification to resolve any inconsistencies.

Please let me know if there is anything else I can help you with.