Question

Расстояние между пристанями А и В теплоход проходит по течению за 5 часов, а против течения за 6 часов. За сколько часов проплывет по течению это расстояние плот?

Answer 1

S=6(a-x)

S=5(a+x)

x-скорость течения

а-скорость теплохода

6a-6x=5a+5x

11x=a

S/10x=6  S/x=60

ответ 60 часов

Answer 2

Problem Analysis

We are given that a boat travels between two ports, A and B, in 5 hours with the current and in 6 hours against the current. We need to find out how long it will take for the boat to travel the same distance with the current.

Solution

Let's assume the distance between ports A and B is d.

When the boat travels with the current, it takes 5 hours to cover the distance. This means that the boat's speed relative to the water (i.e., the boat's speed without considering the current) plus the speed of the current is equal to the distance divided by the time taken:

Speed with current = d / 5 .

Similarly, when the boat travels against the current, it takes 6 hours to cover the distance. This means that the boat's speed relative to the water minus the speed of the current is equal to the distance divided by the time taken:

Speed against current = d / 6 .

To find the speed of the current, we can subtract the two equations:

Speed with current - Speed against current = (d / 5) - (d / 6).

Simplifying the equation:

Speed with current - Speed against current = (6d - 5d) / 30.

Speed with current - Speed against current = d / 30.

Since the speed of the current is the difference between the speed with the current and the speed against the current, we have:

Speed of current = (d / 30).

To find the time it takes for the boat to travel the distance with the current, we can divide the distance by the speed with the current:

Time to travel with current = d / (d / 5) = 5.

Therefore, it will take the boat 5 hours to travel the distance with the current.

Answer

The boat will take 5 hours to travel the distance between ports A and B with the current.

References

Untitled. Retrieved from [source 1]. Untitled. Retrieved from [source 2]. pick_algebra_ru_9_merzlyak - freepidruchnik2 | PDF. Retrieved from [source 3]. Matematika Sbornik Zadach Po Bazovomu Kursu VMK MGU PDF. Retrieved from [source 4]. pick_fizika_be_ru_9_isachenkova - freepidruchnik2 | PDF. Retrieved from [source 5]. Untitled. Retrieved from [source 6]. Untitled. Retrieved from [source 7].