River Crossing Problem Analysis

The video tutorial guides students through solving a river crossing problem using diagrams, expressions, and calculations. It emphasizes the importance of creating diagrams to understand the problem, derives expressions for distances, calculates total time using speed and distance relationships, and discusses the domain of possible values for X.

Why is creating a diagram important in solving the river crossing problem?

• It helps in visualizing the problem.

• It provides the exact solution.

• It is required by the exam.

• It eliminates the need for calculations.

What is the width of the river in the problem?

• 7 kilometers

• 10 kilometers

• 3 kilometers

• 5 kilometers

What does the variable x represent in the problem?

• The speed of the boat

• The width of the river

• The total time taken

• The distance from B to P

How is the expression for the length of PH derived?

• By multiplying x by 10

• By subtracting x from 10

• By dividing 10 by x

• By adding x to 10

What is the speed used in the calculation of time for the interval PH?

• 7 km/h

• 5 km/h

• 10 km/h

• 3 km/h

Which theorem is used to calculate the distance for the second part of the journey?

• Pythagoras' theorem

• Theorem of calculus

• Theorem of relativity

• Binomial theorem

What is the expression for the distance BP using Pythagoras' theorem?

• Square root of x squared plus 9

• x squared plus 9

• x plus 9

• Square root of x plus 9

What is the logical range for the variable x?

• 0 < x < 10

• x < 0

• x > 10

• x = 10

Why is it pointless for x to be negative in this problem?

• It makes the calculations easier.

• It moves further away from the destination.

• It results in a faster journey.

• It is not allowed by the problem.

What happens if x is greater than 10?

• The journey is completed faster.

• The boat goes past the destination.

• The journey becomes impossible.

• The boat reaches the destination directly.