Understanding Boat Speed and Current

The video tutorial addresses a math problem involving a boat's speed in still water and the speed of the current. It explains how to set up and solve equations using the distance equals rate times time formula. The tutorial demonstrates solving for the speed of the current by equating the time taken to travel upstream and downstream, using cross multiplication to find the solution.

What is the speed of the boat in still water?

• 40 miles per hour

• 45 miles per hour

• 35 miles per hour

• 30 miles per hour

What is the unknown variable 'x' used to represent in the problem?

• The speed of the boat

• The distance traveled

• The speed of the current

• The time taken

Which equation is used to relate distance, rate, and time?

• Time equals distance divided by rate

• Distance equals time divided by rate

• Rate equals distance times time

• Distance equals rate divided by time

How is the rate of the boat affected when going downstream?

• It remains the same

• It decreases by the speed of the current

• It increases by the speed of the current

• It doubles

What is the distance traveled upstream?

• 200 miles

• 180 miles

• 240 miles

• 160 miles

What is the total distance traveled downstream?

• 180 miles

• 200 miles

• 240 miles

• 160 miles

Why can the two time equations be set equal to each other?

• Because the speeds are the same

• Because the distances are the same

• Because the rates are the same

• Because the times are the same

What mathematical operation is used to solve the equation for the current's speed?

• Division

• Cross multiplication

• Subtraction

• Addition

What is the result of distributing 240 in the equation?

• 400x

• 2800

• 5600 + 160x

• 8400 - 240x

What is the final value of 'x', representing the speed of the current?

• 6 miles per hour

• 8 miles per hour

• 5 miles per hour

• 7 miles per hour