Question

Расстояние между двумя причалами а и б по реке плот проплывает за 18ч а катер такое же расстояние против течения реки за 2ч за сколько часов катер проплывёт расстояние а и б по озеру?

Answer 1

Пусть расстояние между а и б х км
скорость течения реки х/18
х/2- скорость катера против течения реки 
собственная скорость катера х/2+х/18=(9+1)х/18=10х/18=5х/9

тогда катер проплывет расстояни х по озеру за
х:5х/9=9/5=1.8 часов или 1 час 48 минут
Ответ 1час 48 минут

Answer 2

Calculation of Time for the Boat to Travel the Distance between Points A and B on the Lake

To calculate the time it takes for the boat to travel the distance between points A and B on the lake, we can use the information provided.

We know that a raft can travel the distance between points A and B on the river in 18 hours, and a boat can travel the same distance against the current in 2 hours.

Since the distance between points A and B is the same for both the river and the lake, we can assume that the speed of the boat is constant in both cases.

To find the time it takes for the boat to travel the distance between points A and B on the lake, we can set up a proportion using the time it takes for the boat to travel the distance on the river and the time it takes for the boat to travel the distance on the lake.

Let's denote the time it takes for the boat to travel the distance on the lake as 'x' hours.

The proportion can be set up as follows:

18 hours (river) / 2 hours (lake) = x hours (lake) / x hours (river)

Simplifying the proportion:

18 / 2 = x / x

9 = 1

Since the equation is not solvable, it seems there might be an error or missing information in the given question. The time it takes for the boat to travel the distance between points A and B on the lake cannot be determined with the information provided.

Please provide any additional information or clarify the question if possible, and I'll be happy to assist you further.