Question

От пристани Марьино к пристани Алёшино отправился теплоход со скоростью 24 км/ч, а за 9 ч до него в этом же направлении вышел буксир с баржами со скоростью 8 км/ч , который прибыл в Алёшино на 15 ч позже теплохода.найди расстояние между пристанями

Answer 1

Пусть х км расстояние между пристанями, х/8 - шёл буксир от пристани Марьино к пристани Алёшино, х/24 шёл теплоход от пристани Марьино к пристани Алёшино. Составим ур-ие:
х/8 - х/24 = 15+9 
3х/24 -х/24 = 24 
2х/24 = 24 
х/12 =24 
х = 12*24 
х= 288 
Ответ : расстояние между пристанями 288 км.

Answer 2

Calculation of Distance between Mar'ino and Alyoshino

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

Distance = Speed × Time

Let's calculate the distance using the given information:

- The speed of the ship is 24 km/h. - The speed of the tugboat with barges is 8 km/h. - The tugboat arrived at Alyoshino 15 hours later than the ship. - The time taken by the ship is not given, so we'll represent it as 't' hours.

The distance covered by the ship can be calculated as 24t km, and the distance covered by the tugboat can be calculated as 8(t + 9) km.

Since both distances are the same (the distance between the two ports), we can equate them and solve for 't':

24t = 8(t + 9)

Simplifying the equation:

24t = 8t + 72

16t = 72

t = 4.5

Now that we have the value of 't', we can substitute it back into the equation to find the distance:

Distance = 24t = 24 × 4.5 = 108 km

Therefore, the distance between the Mar'ino and Alyoshino ports is 108 km.