Question

Lisa and Liz are 10 miles apart on a path when they start moving toward each other. Lisa runs at a constant speed of 5 miles per hour, and Liz walks at a constant speed of 3 miles per hour. How long does it take until Lisa and Liz meet? Explain or show your thinking.

a) 2 hours
b) 3 hours
c) 4 hours
d) 5 hours

Answer 1

Lisa and Liz will meet after 2 hours. Hence the correct answer is option A

Step-by-step explanation:

To find the time it takes until Lisa and Liz meet, we need to determine the time it takes for them to cover the 10-mile distance between them. Lisa runs at a speed of 5 miles per hour, while Liz walks at a speed of 3 miles per hour.

Let's calculate the time it takes for Lisa and Liz to meet:

Lisa's time = Distance / Speed = 10 miles / 5 miles per hour = 2 hours

Liz's time = Distance / Speed = 10 miles / 3 miles per hour = 3 hours

Since Lisa and Liz both need to cover the same distance, we can conclude that it will take 2 hours for them to meet. Therefore, the answer is a) 2 hours.