Question

От пристани Марьино до пристани Алёшино отправился теплоход со скоростью 24км/ч , а за 24 часа до него вышла баржа со скоростью 8км/ч. Найди расстояние между пристанями если теплоход и баржа прибыли в Алёшино одновременно

Answer 1

Пусть х ч плыл теплоход, тогда (х + 24)ч - плыл буксир, т.к. они проплыли одно расстояние получаем уравнение:

24х = 8(х+24); 24х = 8х - 192; 24х - 8х = 192; 16х = 192; х =  12.

Теплоход плыл 12 часов, расстояние между пристанями равно: 12 * 24 =  288 км.

Ответ. 288 км.

Answer 2

To find the distance between the Mar'ino and Al'yoshino ports, we can use the formula:

Distance = Speed x Time

Let's calculate the time it took for both the boat and the barge to reach the Al'yoshino port.

The boat traveled at a speed of 24 km/h for 24 hours, so the time it took for the boat to reach the port is:

Time for the boat = 24 hours

The barge traveled at a speed of 8 km/h for the same amount of time, so the time it took for the barge to reach the port is also:

Time for the barge = 24 hours

Now, we can calculate the distance between the ports using the formula mentioned earlier.

Distance = Speed x Time

For the boat: Distance = 24 km/h x 24 hours = 576 km

For the barge: Distance = 8 km/h x 24 hours = 192 km

Since both the boat and the barge arrived at the Al'yoshino port at the same time, the distance between the Mar'ino and Al'yoshino ports is the same for both of them.

Therefore, the distance between the ports is 576 km.

Please note that the above calculations assume constant speeds for both the boat and the barge throughout their journey.