Question

Karla and Nevaeh are 30 miles apart on a path when they start moving toward each other. Elena runs at a constant speed of 7 miles per hour, and Jada walks at a constant speed of 5 miles per hour. How many hours does it take until Elena and Jada meet? Karla and Nevaeh meet after _____ hours. (Give your answer as an improper fraction or a decimal)

A) 4 hours

B) 3.33 hours

C) 3.75 hours

D) 4.5 hours

Answer 1

Elena and Jada meet after 2.5 hours. Karla and Nevaeh also meet after 2.5 hours. Correct option is B.

Step-by-step explanation:

In order to find the time it takes until Elena and Jada meet, we need to determine how long it takes for their combined distances to equal 30 miles. Elena runs at a speed of 7 miles per hour, so we can represent her distance as 7t, where t is the number of hours. Jada walks at a speed of 5 miles per hour, so we can represent her distance as 5t. Setting up an equation, we have:

7t + 5t = 30

12t = 30

t = 2.5 hours

Therefore, Elena and Jada meet after 2.5 hours.

To find when Karla and Nevaeh meet, we use the same equation and solve for t:

7t + 5t = 30

12t = 30

t = 30/12

t = 2.5 hours

Therefore, Karla and Nevaeh also meet after 2.5 hours.