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Elena and Jada are 12 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?

Respuesta :

Answer:

1.5 hour or 90 minutes

Step-by-step explanation:

The  total distance betwenn Elena and Jada is 12 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.

Therefore, total time=[tex]\frac{12}{5+3}=\frac{12}{8}=1.5[/tex] hours.

Therefore, it takes 1.5 hours (or equivalently 90 minutes) until Elena and Jada meet.



fichoh

Using the speed - distance relationship, the time taken until Jada and Elena meets is 1.5 hours

Recall :

  • Time = distance / speed

Distance apart = 12 miles

Elena :

  • Distance = 5t

Jada :

  • Distance = 3t

Hence,

3t + 5t = 12

8t = 12

Divide both sides by 8

t = 12/8

t = 1.5 hours

Hence, they'll both meet after 1.5 hours

Learn more : https://brainly.com/question/25599974

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