Distance, Speed, and Time Problems

This lesson focuses on understanding proportional relationships in linear equations. It begins with an introduction to the topic, followed by examples involving calculating distances using proportional relationships. The lesson also covers scenarios with non-constant speeds, emphasizing the importance of assuming constant speed for calculations. Exercises are provided to reinforce the concepts, including calculating distances for walking and driving scenarios.

If Paul can walk 2 miles in 25 minutes, how many miles can he walk in 75 minutes assuming a constant speed?

• 4 miles

• 6 miles

• 8 miles

• 10 miles

What is the equation to find the number of miles Paul can walk in X minutes?

• y = 25/2 * X

• y = X/25 * 2

• y = 25 * X/2

• y = 2/25 * X

Why did Alexa not walk 0.44 miles in the first 10 minutes?

• She stopped at an ATM

• She walked at a constant speed

• She walked faster than expected

• She took a different route

What is the average speed formula used in the lesson?

• Total time divided by total distance

• Total distance divided by total time

• Total distance multiplied by total time

• Total time minus total distance

How many miles did Wesley walk after 15 minutes if his constant speed is 1.5 miles in 25 minutes?

• 0.9 miles

• 1.2 miles

• 1.5 miles

• 2.0 miles

What is the constant speed of Stephanie if she drives 20 miles in 45 minutes?

• 0.75 miles/min

• 0.5 miles/min

• 0.67 miles/min

• 0.44 miles/min

How long does it take Stephanie to reach halfway to her friend's house if she drives at a constant speed?

• 22.5 minutes

• 30 minutes

• 45 minutes

• 15 minutes

What is the equation to find the distance Dave is from town after X hours of driving?

• y = 15X + 50

• y = 50X - 15

• y = 15X - 50

• y = 50X + 15

If Dave drives for 2 hours, how far is he from town?

• 130 miles

• 115 miles

• 80 miles

• 65 miles

What is the significance of the 15 miles in Dave's journey problem?

• It is the distance he travels in two hours

• It is the total distance to town

• It is his starting distance from town

• It is the distance he travels in one hour