Question

Длинна участка железнодорожной магистрали на карте, составленной в масштабе 1:6000000, равна 150 мм. За какое время проедет поезд данный участок железнодорожной магистрали со скоростью 45 км/ч?

Answer 1

Масштаб на карте 1:6000000 означает что 1см = 60 км
длинна железной магистрали на карте 150 мм,а это 15 см
значит 15*60=900 км магистраль
900:45=20 (ч)
ответ: за 20 часов поезд проедет данный участок магистрали

Answer 2

Calculation of Train Travel Time

To calculate the time it takes for a train to travel a certain distance at a given speed, we can use the formula:

Time = Distance / Speed

First, let's convert the given speed from kilometers per hour (km/h) to meters per minute (m/min) to ensure consistent units for the calculation.

1 kilometer = 1000 meters 1 hour = 60 minutes

So, 45 km/h = 45,000 meters / 60 minutes = 750 meters/minute.

Now, we can calculate the time it takes for the train to travel the given distance.

Distance on the map: 150 mm Scale: 1:6000000

To find the actual distance represented by 150 mm on the map, we can use the scale.

Actual Distance = Map Distance × Scale

Actual Distance = 150 mm × 6000000 = 900000000 mm = 900000 meters

Now, we can use the formula to calculate the time it takes for the train to travel this distance at a speed of 45 km/h.

Time = Distance / Speed Time = 900000 meters / 750 meters/minute Time = 1200 minutes

So, the train will take 1200 minutes to travel the given distance at a speed of 45 km/h.