Question

Пассажирный Поезд проехал тоннель за 7 минут 30 секунд а товарный поезд проехал этот же туннель за 9 минут 30 секунд скорость пассажирского поезда на 4 м больше чем товарного Какой длины туннель

Answer 1

Пусть скорость пассажирского поезда х(м/с), тогда товарного (х-4)м/с.
Время пассажирского 7мин.30 сек.= 450 с., а товарного 570с.
Расстояние пройденное ими одинаково S=v·t
450х=570(х-4)
450х=570х-2280
120х=2280
х=19      (м/с скорость пассажирского)
450 с·19м/с=8550м
Ответ: длина туннеля 8550м

Answer 2

Calculation of Tunnel Length

To calculate the length of the tunnel, we can use the formula:

Length = Speed × Time

Let's denote the speed of the passenger train as v and the speed of the freight train as v - 4 (since the passenger train is 4 m/s faster than the freight train).

Given that the passenger train took 7 minutes and 30 seconds (or 450 seconds) to pass through the tunnel, and the freight train took 9 minutes and 30 seconds (or 570 seconds), we can set up the following equations:

Length = v × 450 (for the passenger train)

Length = (v - 4) × 570 (for the freight train)

By equating the two expressions for the length, we can solve for the value of v and then calculate the length of the tunnel.

Let's solve the equations step by step:

1. Length = v × 450 2. Length = (v - 4) × 570

Now, let's substitute the first equation into the second equation:

v × 450 = (v - 4) × 570

Simplifying the equation:

450v = 570v - 2280

120v = 2280

v = 19

Now that we have the value of v, we can substitute it back into the first equation to find the length of the tunnel:

Length = 19 × 450

Length = 8550 meters

Therefore, the length of the tunnel is 8550 meters.