Question

Автобус отправляется с автовокзала города А в аэропорт Д в 10 часов утра со скоростью 60км. час и прибывает в аэропорт в два часа дня. Во время движения автобус совершает четыре остановки по 15 минут. Скорость машины на 30 км/ч больше скорости автобуса. Машина проходит тот же путь, что и автобус из А в Д, двигаясь без остановок. В котором часу необходимо выехать на машине, чтобы приехать в аэропорт Д одновременно с автобусом?

Answer 1

1) 14-10=4 ч - авт. в пути
2) 15*4=60 мин =1 ч - останов.
3) 4-1=3 ч - без ост.
4) 60*3=180 км - из А в Д
5) 60+30=90 КМ/Ч -скорость маш.
6) 180:90=2 ч  - маш. из А в Д
7) 14-2=12 
      ОТВЕТ: в 12 часу

Answer 2

Calculation of Travel Time for the Bus

To determine the time it takes for the bus to travel from City A to Airport D, we need to consider the following factors:

1. The bus departs from the city's bus station at 10:00 AM. 2. The bus travels at a speed of 60 km/h. 3. The bus makes four stops along the way, with each stop lasting 15 minutes. 4. The bus arrives at the airport at 2:00 PM.

To calculate the travel time, we need to subtract the time spent on stops from the total travel time.

The total travel time for the bus can be calculated as follows:

1. The distance between City A and Airport D is the same for both the bus and the car. 2. The bus travels at a speed of 60 km/h, while the car travels at a speed 30 km/h faster than the bus. 3. Let's assume the distance between City A and Airport D is 'd' km. 4. The time it takes for the bus to travel from City A to Airport D is given by the formula: time = distance / speed. 5. Therefore, the travel time for the bus is: time = d / 60.

Now, let's calculate the time spent on stops:

1. The bus makes four stops, each lasting 15 minutes. 2. Therefore, the total time spent on stops is: total stop time = 4 * 15 minutes.

To calculate the actual travel time for the bus, we subtract the total stop time from the total travel time:

1. The actual travel time for the bus is: actual travel time = total travel time - total stop time.

Since the bus arrives at the airport at 2:00 PM, we can calculate the total travel time:

1. The total travel time for the bus is: total travel time = 2:00 PM - 10:00 AM.

Now, let's calculate the time it takes for the car to travel from City A to Airport D:

1. The car travels at a speed 30 km/h faster than the bus, which means the car travels at a speed of 60 km/h + 30 km/h = 90 km/h. 2. The distance between City A and Airport D is 'd' km. 3. The time it takes for the car to travel from City A to Airport D is given by the formula: time = distance / speed. 4. Therefore, the travel time for the car is: time = d / 90.

To find the time at which the car needs to depart to arrive at the airport at the same time as the bus, we need to calculate the difference in travel times between the car and the bus:

1. The difference in travel times is: difference in travel times = actual travel time for the bus - travel time for the car.

Finally, we can calculate the departure time for the car:

1. The departure time for the car is: departure time = 2:00 PM - difference in travel times.

Let's calculate the departure time for the car:

1. The total travel time for the bus is 4 hours (from 10:00 AM to 2:00 PM). 2. The total stop time for the bus is 4 * 15 minutes = 60 minutes. 3. The actual travel time for the bus is 4 hours - 60 minutes = 3 hours.

The travel time for the car is the same as the travel time for the bus, but without any stops, so it is also 3 hours.

The difference in travel times between the car and the bus is 0 hours, which means the car needs to depart at the same time as the bus, which is 10:00 AM.

Therefore, to arrive at Airport D at the same time as the bus, you need to depart from City A at 10:00 AM.

Please note that the above calculations assume constant speeds and do not take into account factors such as traffic or road conditions, which may affect the actual travel times.