Question

От речного причала одновременно в одном направлении отплыли плот и лодка, причем скорость лодки в 4 раза превышала скорость плота. Через 3 часа расстояние между ними составляло 27 км. 1. На сколько процентов скорость лодки по течению больше скорости плота?2. Найдите собственную скорость лодки (в км/ч).более ста​

Answer 1

Ответ:

1) На 400%

2) 12 км/ч

Пошаговое объяснение:

Пусть скорость плота - х км/ч, тогда скорость лодки - 4х км/ч.

Через 3 часа:

Лодка преодолела 12х км, плот преодолел 3х км.

12х-3х=9х км - расстояния через 3 часа

9х=27

х=3

Скорость плота 3 км/ч.

Лодка движется в 4 раза быстрее соответственно, скорость лодки 3*4=12 км/ч

Answer 2

Given Information:

- A raft and a boat departed from a river dock in the same direction. - The boat's speed is 4 times faster than the raft's speed. - After 3 hours, the distance between them was 27 km.

Calculating the Speed Difference:

To find the percentage by which the boat's speed exceeds the raft's speed, we can use the formula:

Percentage = (Difference / Original) * 100

In this case, the boat's speed is 4 times faster than the raft's speed. So, the difference in speed is 4 - 1 = 3 times the raft's speed.

Let's assume the raft's speed is x km/h. Then, the boat's speed is 4x km/h.

The difference in speed is 4x - x = 3x km/h.

To find the percentage, we can use the formula:

Percentage = (3x / x) * 100 = 300%

Therefore, the boat's speed is 300% faster than the raft's speed.

Finding the Boat's Speed:

We know that the distance between the boat and the raft after 3 hours is 27 km.

The boat's speed is 4 times faster than the raft's speed, so we can set up the equation:

Distance = Speed * Time

For the boat: 27 km = (4x km/h) * 3 hours

Simplifying the equation: 27 km = 12x km

Solving for x, we find: x = 27 km / 12 = 2.25 km/h

Therefore, the raft's speed is 2.25 km/h.

Since the boat's speed is 4 times faster, the boat's speed is 4 * 2.25 = 9 km/h.

So, the boat's speed is 9 km/h.

Summary:

1. The boat's speed is 300% faster than the raft's speed. 2. The boat's speed is 9 km/h.