Question

За 3 часа автобус преодолевает такое же расстояние, какое проедет поезд-за 2 часа. Туристы ехали 4 часа на автобусе и 3 часа на поезде, а всего они проехали 408 км. Найдите скорость автобуса и скорость поезда ПоЖаЛуЙсТа

Answer 1

408÷4=102 автоб. 408÷3=136 поезд

Answer 2

I can help you with your math problem.

Let x be the speed of the bus in km/h, and y be the speed of the train in km/h. According to the problem, we have the following system of equations:

$$ \begin{cases} 3x = 2y \\ 4x + 3y = 408 \end{cases} $$

To solve this system, we can use the method of elimination. We multiply the first equation by -4 and add it to the second equation:

$$ -12x + 8y = 0 \\ 12x + 9y = 408 $$

$$ 17y = 408 $$

Then we divide both sides by 17 to get y:

$$ y = \frac{408}{17} \approx 24 $$

The speed of the train is about 24 km/h. To find the speed of the bus, we substitute y into the first equation and solve for x:

$$ 3x = 2y \\ 3x = 2 \times 24 \\ x = \frac{48}{3} = 16 $$

The speed of the bus is 16 km/h.

I hope this helps you understand how to solve this problem. You can also check out some similar examples online. Have a nice day!