Question

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

Answer 1

24*8=192 (км) - прошёл буксир до выхода теплохода.

24-8=16 (км/ч) - скорость теплохода больше скорости буксира.

192:16=12 (ч) - теплоход был в пути.

24*12= 288(км) - расстояние.

Ответ: 288 км.

Answer 2

Problem Analysis

We are given the following information: - A steamboat left the Mar'ino pier with a speed of 24 km/h. - A tugboat with barges left 9 hours earlier in the same direction with a speed of 8 km/h. - The tugboat arrived at the Alëshino pier 15 hours after the steamboat.

We need to find the distance between the two piers.

Solution

Let's assume that the distance between the Mar'ino and Alëshino piers is d kilometers.

We can use the formula: distance = speed × time.

For the steamboat: - Speed = 24 km/h - Time = t hours (unknown)

For the tugboat: - Speed = 8 km/h - Time = t + 9 hours (since it left 9 hours earlier and arrived 15 hours after the steamboat)

According to the given information, the tugboat arrived at the Alëshino pier 15 hours after the steamboat. Therefore, we can write the equation:

d = 24t (1) (distance covered by the steamboat)

d = 8(t + 9) (2) (distance covered by the tugboat)

To find the value of t, we can equate equations (1) and (2):

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 into equation (1) to find the distance d:

d = 24t = 24 × 4.5 = 108 kilometers.

Therefore, the distance between the Mar'ino and Alëshino piers is 108 kilometers.

Answer

The distance between the Mar'ino and Alëshino piers is 108 kilometers.