Runner and Walker Problem Analysis

The video tutorial explains a problem where a runner and a walker start at the same point on a quarter-mile track and move in opposite directions. The runner runs at 9 mph, and the walker walks at 3 mph. The tutorial uses the formula distance equals rate times time to find the time it takes for them to meet, which is calculated in hours and then converted to seconds. The final result is that they meet after 75 seconds.

What is the initial setup of the problem involving the runner and walker?

• They start at different points on a half-mile track.

• They start at the same point on a quarter-mile track.

• They start at the same point on a half-mile track.

• They start at different points on a quarter-mile track.

At what combined rate do the runner and walker move apart from each other?

• 15 miles per hour

• 6 miles per hour

• 9 miles per hour

• 12 miles per hour

What formula is used to solve the problem of the runner and walker?

• Rate equals time divided by distance

• Distance equals rate times time

• Time equals distance divided by rate

• Speed equals distance times time

How is the time in hours calculated in the problem?

• By subtracting the rate from the distance

• By dividing the distance by the rate

• By multiplying the distance by the rate

• By adding the distance and rate

What is the time in hours for the runner and walker to meet?

• 1/48 of an hour

• 1/36 of an hour

• 1/60 of an hour

• 1/24 of an hour

What is the first step in converting the time from hours to seconds?

• Convert hours to milliseconds

• Convert hours to minutes

• Convert hours to days

• Convert hours to weeks

How many minutes are equivalent to 1/48 of an hour?

• 1.5 minutes

• 2.5 minutes

• 0.75 minutes

• 1.25 minutes

What is the final step in converting the time to seconds?

• Divide minutes by 60

• Multiply minutes by 30

• Multiply minutes by 60

• Add 60 to minutes

What is the final time in seconds for the runner and walker to meet?

• 60 seconds

• 100 seconds

• 75 seconds

• 90 seconds

What is the significance of the combined distance of one-fourth of a mile?

• It is the distance they cover in one minute.

• It is the distance they cover in one hour.

• It is the distance each covers individually.

• It is the total distance they cover together.