Question

От автобусной станции отошел автобус со скоростью 40км/ч. Через час в противоположном направлении вышел другой автобус, скорость которого 60 км/ч. Через какое время после выхода второго автобуса расстояние между ними будет равно 140 км.? Через какое время после выхода первого автобуса расстояние между ними будет равно 240 км?

Answer 1

40*1=40 км будет расстояние между автобусами на момент выезда второго

60+40=100 км/ч скорасть удаления

100*х+40=140

       100х=140-40=100

х=100/100=1 час

Через 1 час после выхода второго автобуса расстояние между ними будет равно 140 км.

     100х+40=240

100х=200

        х=200/100=2 ч + 1ч (уже ехал 1-й автобус)=3 ч

Через 3 ч после выхода первого автобуса расстояние между ними будет равно 240 км

Answer 2

Calculation of Time and Distance between Buses

To calculate the time it takes for the distance between the two buses to be equal to 140 km and 240 km, we need to consider the speeds of the buses.

Let's denote the speed of the first bus as v1 (40 km/h) and the speed of the second bus as v2 (60 km/h).

To find the time it takes for the distance between the buses to be 140 km, we can use the formula:

Time = Distance / Relative Speed

The relative speed between the two buses is the sum of their speeds since they are moving in opposite directions. Therefore, the relative speed is:

Relative Speed = v1 + v2

Using this formula, we can calculate the time it takes for the distance between the buses to be 140 km:

Time = 140 km / (v1 + v2)

Similarly, to find the time it takes for the distance between the buses to be 240 km, we can use the same formula:

Time = 240 km / (v1 + v2)

Now, let's calculate the time for both scenarios.

Calculation for a Distance of 140 km

Using the formula mentioned above, we can calculate the time it takes for the distance between the buses to be 140 km:

Time = 140 km / (40 km/h + 60 km/h)

Simplifying the equation:

Time = 140 km / 100 km/h

Time = 1.4 hours

Therefore, it will take 1.4 hours (or 1 hour and 24 minutes) for the distance between the buses to be 140 km.

Calculation for a Distance of 240 km

Using the same formula, we can calculate the time it takes for the distance between the buses to be 240 km:

Time = 240 km / (40 km/h + 60 km/h)

Simplifying the equation:

Time = 240 km / 100 km/h

Time = 2.4 hours

Therefore, it will take 2.4 hours (or 2 hours and 24 minutes) for the distance between the buses to be 240 km.

Please note that these calculations assume constant speeds for the buses and do not take into account any stops or delays that may occur during the journey.

I hope this helps! Let me know if you have any further questions.