Boat Speed and Equation Analysis

Boat Speed and Equation Analysis

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial by Vasily covers solving upstream and downstream problems. It begins with an introduction to the concepts, followed by solving two problems. The first problem involves calculating the speed of a boat in still water and the speed of the current using linear equations. The second problem is more complex, involving cross multiplication to solve for the speed of the stream and the boat. The tutorial concludes with tips on assumptions and solving techniques.

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8 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video introduction?

Discussing the complexity of downstream and upstream problems

Highlighting the simplicity of downstream and upstream problems

Introducing a new mathematical concept

Explaining the history of rowing

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What assumption is made about the speed of the boat in still water in the first problem?

It is greater than the speed of the current

It is equal to the speed of the current

It is represented by X km/h

It is represented by Y km/h

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the speed of the boat downstream calculated?

By dividing the speed of the current by the speed of the boat in still water

By multiplying the speed of the current with the speed of the boat in still water

By subtracting the speed of the current from the speed of the boat in still water

By adding the speed of the current to the speed of the boat in still water

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first equation derived from the first problem?

2X + 2Y = 20

X + Y = 20

X + Y = 10

X - Y = 10

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second problem, what is the total time taken for the boat to travel upstream and downstream?

10 hours

13 hours

15 hours

20 hours

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is used to simplify the equations in the second problem?

Graphical method

Elimination method

Cross multiplication method

Substitution method

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final speed of the boat in still water in the second problem?

5 km/h

6 km/h

8 km/h

10 km/h

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key takeaway from the conclusion of the video?

Memorize all equations

Avoid using cross multiplication

Focus on assumptions and careful handling of signs

Always use the substitution method