Comparing Speeds of Plane and Car

The video tutorial explains how to solve a problem involving the speeds of a plane and a car. The plane travels 1,600 miles in the same time it takes a car to travel 310 miles. The car is 258 miles per hour slower than the plane. The tutorial sets up equations using the distance = rate x time formula, solves them to find the plane's speed, and concludes that the plane travels at 320 miles per hour.

What is the distance traveled by the plane in the given problem?

• 320 miles

• 258 miles

• 310 miles

• 1,600 miles

How much slower does the car travel compared to the plane?

• 62 miles per hour

• 310 miles per hour

• 258 miles per hour

• 320 miles per hour

What variable is used to represent the rate of the plane?

• S

• D

• R

• T

How is the rate of the car expressed in terms of the plane's rate?

• R / 258

• R x 258

• R - 258

• R + 258

What equation represents the time taken by the plane?

• T = 1,600 / R

• T = 310 / R

• T = R / 310

• T = R / 1,600

What is the equation used to equate the times for the plane and the car?

• 258 / R = 310 / (R - 1,600)

• 310 / R = 1,600 / (R - 258)

• 1,600 / R = 258 / (R - 310)

• 1,600 / R = 310 / (R - 258)

What mathematical operation is used to clear the fractions in the proportion?

• Division

• Subtraction

• Addition

• Cross-multiplication

What is the final speed of the plane as calculated in the problem?

• 62 miles per hour

• 320 miles per hour

• 310 miles per hour

• 258 miles per hour

What is the speed of the car after solving the problem?

• 320 miles per hour

• 62 miles per hour

• 258 miles per hour

• 310 miles per hour

What is the main equation used in this problem?

• Speed = Distance / Time

• Distance = Rate x Time

• Rate = Time x Distance

• Time = Distance / Speed