Question

Теплоход проходит за 4 часа такое же расстояние как и моторная лодка за 9 часов узнать Скорость моторной лодки если известно что скорость теплохода 36 километров час

Answer 1

1) 36*4= 144 км расстояние
2) 144:9= 16 км/ч скорость моторной лодки

Answer 2

Рассчитаем сколько проходит теплоход за 4 часа 4*36=144 км Теперь высчитаем скорость лодки зная что теплоход проходит за 4часа такое же расстояние,как моторная лодка за 9часов; 144/9=16км/ч скорость лодки

Answer 3

Problem Analysis

We are given that a steamboat travels the same distance in 4 hours as a motorboat does in 9 hours. We need to find the speed of the motorboat, given that the speed of the steamboat is 36 kilometers per hour.

Solution

Let's assume that the distance traveled by both the steamboat and the motorboat is d kilometers.

We can use the formula speed = distance / time to find the speed of the motorboat.

For the steamboat: - Speed of the steamboat = 36 kilometers per hour - Time taken by the steamboat = 4 hours - Distance traveled by the steamboat = d kilometers

For the motorboat: - Speed of the motorboat = ? - Time taken by the motorboat = 9 hours - Distance traveled by the motorboat = d kilometers

Using the formula, we can set up the following equation:

Speed of the steamboat = Distance traveled by the steamboat / Time taken by the steamboat

Speed of the motorboat = Distance traveled by the motorboat / Time taken by the motorboat

Substituting the values we know:

36 = d / 4

Speed of the motorboat = d / 9

To find the speed of the motorboat, we need to solve these two equations simultaneously.

Solution Steps

1. Solve the first equation for d. 2. Substitute the value of d into the second equation to find the speed of the motorboat.

Detailed Solution

1. Solve the first equation for d:

36 = d / 4

Multiply both sides of the equation by 4:

36 * 4 = d

Simplify:

144 = d

Therefore, the distance traveled by both the steamboat and the motorboat is 144 kilometers.

2. Substitute the value of d into the second equation to find the speed of the motorboat:

Speed of the motorboat = d / 9

Substitute d = 144:

Speed of the motorboat = 144 / 9

Simplify:

Speed of the motorboat = 16 kilometers per hour

Answer

The speed of the motorboat is 16 kilometers per hour.

Verification

To verify our answer, let's check if the speed of the motorboat allows it to cover the same distance as the steamboat in 9 hours.

Using the formula speed = distance / time, we can calculate the distance traveled by the motorboat in 9 hours:

Distance traveled by the motorboat = Speed of the motorboat * Time taken by the motorboat

Substituting the values we know:

Distance traveled by the motorboat = 16 * 9

Simplify:

Distance traveled by the motorboat = 144 kilometers

This matches the distance traveled by the steamboat, which confirms that our answer is correct.

Conclusion

The speed of the motorboat is 16 kilometers per hour.