Question

Elena and Jada are 24 miles apart on a path when they start moving toward each other. Elena runs at a constant speed of 5 miles per hour, and Jada walks at a constant speed of 3 miles per hour. How long does it take until Elena and Jada meet?

Answer 1

Let their meeting point be x miles away from Elena's starting point.

So, Elena covers x miles to meet with Jada.

Therefore, Jada covers (12 -x ) miles

They take the same time to meet.

Time = Distance/Speed

Elena = x/5

Jada = (12 - x)/3

They take the same time, so we have:

x/5 = (12 - x)/3

3x = 5(12 - x)

3x = 60 - 5x

3x + 5x = 60

8x = 60

x = 60/8

x = 7.5 miles

The time taken for the two to meet is:

= 7.5/5 = 1.5 hours

Elena and Jada take 1.5 hours to meet.

Answer 2

Answer:

Step-by-step explanation:

The  total distance betwenn Elena and Jada is 24 miles

Now, it is also given that Elena runs at a constant speed of 5 miles per hour, and Jada walks at a constant speed of 3 miles per hour. Therefore, the total speed of both of them combined is 8 miles per hour.

Now, we know that the total time taken by Elena and Jada to meet will be given by dividing total distance by total time.

Total time = $\frac{24}{8}$ = 3

Therefore, It will be 3 hours till they meet.

Hope This Helps You!