Al's Speed and Current Problems

This video tutorial explains how to solve a rational equation derived from a motion problem. The problem involves Al paddling upstream and downstream with a given speed in still water, and the task is to find the speed of the current. The video covers setting up the problem, understanding the relationship between speed, time, and distance, formulating the equation, solving it, and verifying the solution.

What type of problem is being solved in this video?

• Quadratic equation

• Linear equation

• Rational equation

• Algebraic equation

What is Al's speed in still water?

• 65 m/min

• 60 m/min

• 55 m/min

• 50 m/min

What is the total distance Al paddles upstream and downstream?

• 300 meters

• 100 meters

• 150 meters

• 200 meters

What is the total time taken for the trip?

• 6 minutes

• 5.5 minutes

• 5 minutes

• 4 minutes

What variable is used to represent the speed of the current?

• Z

• Y

• C

• X

How is the speed of Al going upstream calculated?

• X + 55

• X - 55

• 55 - X

• 55 + X

How is the speed of Al going downstream calculated?

• X + 55

• X - 55

• 55 - X

• 55 + X

What is the equation for the time taken to go upstream?

• 150 / (55 + X)

• 150 / (55 - X)

• 150 * (55 + X)

• 150 * (55 - X)

What is the equation for the time taken to go downstream?

• 150 * (55 - X)

• 150 * (55 + X)

• 150 / (55 - X)

• 150 / (55 + X)

What is the total time equation for the trip?

• (150 / (55 - X)) + (150 / (55 + X)) = 5.5

• (150 / (55 + X)) + (150 / (55 - X)) = 5.5

• (150 * (55 - X)) + (150 * (55 + X)) = 5.5

• (150 * (55 + X)) + (150 * (55 - X)) = 5.5