Question

Путешественник плыл на моторной лодке 2 часа со скоростью 11 3/4 км/ч. При этом осталось непройденным 25% всего пути. Какова длина всего пути ?

Answer 1

1)   11 3/4 * 2=22 3/2=23 1/2(км) - проплыл за 2 часа
2)    100-25=75% - проплыл, что равно 23 1/2 км
3)   23 1/2 * 100: 75=31 1/3(км) - длина пути

Answer 2

1)   11 3/4 * 2=22 3/2=23 1/2(км) - проплыл за 2 часа
2)    100-25=75% - проплыл, что равно 23 1/2 км
3)   23 1/2 * 100: 75=31 1/3(км) - длина пути

Answer 3

Problem Analysis

A traveler is traveling on a motorboat for 2 hours at a speed of 11 3/4 km/h. At the end of the journey, 25% of the total distance remains untraveled. We need to find the total length of the journey.

Solution

Let's assume the total length of the journey is x km.

Given: - The traveler traveled for 2 hours at a speed of 11 3/4 km/h. - At the end of the journey, 25% of the total distance remains untraveled.

To find the total length of the journey, we can set up the following equation:

Distance traveled + Untraveled distance = Total distance

The distance traveled can be calculated using the formula: Distance = Speed × Time.

Let's calculate the distance traveled: Distance traveled = Speed × Time Distance traveled = (11 3/4) km/h × 2 hours

To calculate the untraveled distance, we can use the fact that 25% of the total distance remains untraveled: Untraveled distance = 25% of Total distance Untraveled distance = 0.25 × Total distance

Now, we can substitute the values into the equation: Distance traveled + Untraveled distance = Total distance (11 3/4) km/h × 2 hours + 0.25 × Total distance = Total distance

Simplifying the equation: (47/4) km + 0.25 × Total distance = Total distance (47/4) km = 0.75 × Total distance

To solve for Total distance, we can isolate it on one side of the equation: Total distance - 0.75 × Total distance = (47/4) km 0.25 × Total distance = (47/4) km Total distance = (47/4) km ÷ 0.25

Now, let's calculate the total distance using the given information.

Calculation

Total distance = (47/4) km ÷ 0.25 Total distance = 47 km ÷ 0.25 Total distance = 188 km

Answer

The total length of the journey is 188 km.

Verification

Let's verify the answer using the given information.

Distance traveled = (11 3/4) km/h × 2 hours Distance traveled = (47/4) km/h × 2 hours Distance traveled = 47 km

Untraveled distance = 0.25 × Total distance Untraveled distance = 0.25 × 188 km Untraveled distance = 47 km

Distance traveled + Untraveled distance = Total distance 47 km + 47 km = 188 km

The answer is verified to be correct.