Question

Из речного порта вышли одновременно в противоположных направлениях катер и лодка.Через 3 ч между ними было 96 км. Найти скорость катера,если лодка плыла со скоростью 7 км/ч

Answer 1

1) 7*3 = 21 (км) - такое расстояние прошла лодка за 3 часа
2) 96 -21 = 75 (км) - такое расстояние прошел катер за 3 часа
3) 75:3=25 (км/ч) - скорость катера

Answer 2

7*3=21 км за 3 часа проплыла лодка                                                                96-21=75 км за 3 часа прошел катер                                                                   75:3=25 км/час скорость катера

Answer 3

Problem Analysis

We are given that a boat and a cutter left a river port simultaneously in opposite directions. After 3 hours, they were 96 km apart. We need to find the speed of the cutter, given that the boat was traveling at a speed of 7 km/h.

Solution

Let's assume the speed of the cutter is x km/h.

We know that the distance traveled by an object is equal to its speed multiplied by the time taken. Therefore, the distance traveled by the boat in 3 hours is 7 km/h * 3 h = 21 km.

Since the boat and the cutter are moving in opposite directions, the total distance between them after 3 hours is the sum of the distances traveled by each of them. Therefore, we can set up the following equation:

Distance traveled by the boat + Distance traveled by the cutter = Total distance between them

21 km + Distance traveled by the cutter = 96 km

To find the distance traveled by the cutter, we can subtract the distance traveled by the boat from the total distance between them:

Distance traveled by the cutter = Total distance between them - Distance traveled by the boat

Distance traveled by the cutter = 96 km - 21 km = 75 km

Now, we can use the formula for distance traveled to find the speed of the cutter:

Distance = Speed * Time

75 km = x km/h * 3 h

Simplifying the equation, we have:

x km/h = 75 km / 3 h

x km/h = 25 km/h

Therefore, the speed of the cutter is 25 km/h.

Answer

The speed of the cutter is 25 km/h.