Question

На одной из станций поезд задержался на 2 часа. На скольконужно увеличитьпоезду скорость, чтобы прибыть на следующую станцию , находящуюся на расстоянии 40 км , вовремя

Answer 1

нужно увиличить на 40 км

Answer 2

на 40 кілометрів..................

Answer 3

Situation Analysis

A train has been delayed by 2 hours at one station and needs to make up for lost time to arrive at the next station, which is 40 km away. The question is how much the train's speed needs to be increased in order to arrive on time.

Calculation

To calculate the required increase in speed, we need to consider the original speed of the train and the time it takes to cover the distance between the two stations.

Let's assume the original speed of the train is x km/h. The time it takes to cover a distance of 40 km at this speed is given by the formula:

Time = Distance / Speed

So, the original time it would take for the train to cover the 40 km distance is:

Time = 40 km / x km/h

Since the train has been delayed by 2 hours, the available time to cover the distance is reduced by 2 hours. Therefore, the new time available to cover the distance is:

New Time = Original Time - Delay Time = (40 km / x km/h) - 2 hours

To arrive on time, the train needs to cover the distance in the new time available. Let's assume the required speed increase is y km/h. The new time it would take for the train to cover the 40 km distance at the increased speed is:

New Time = 40 km / (x + y) km/h

Now we can set up an equation to solve for the required speed increase:

(40 km / x km/h) - 2 hours = 40 km / (x + y) km/h

Solution

To find the required speed increase, we can solve the equation derived above. However, without knowing the original speed of the train, it is not possible to provide a specific numerical answer.

If you provide the original speed of the train, I can help you calculate the required speed increase to arrive on time at the next station.