Enrique left the study group traveling 20 mph. Then, 2 hours later, Tevin left traveling the same direction at 28 mph. How long until Tevin catches up with Enrique?

Respuesta :

Answer:

After 7 hours Tevin will catch Enrique

Step-by-step explanation:

We have given speed of Enrique is 20 mph

Tevin left traveling after 2 hours of Enrique

Speed of Tevin  is 28 mph

When Tevin catches  Enrique will cover same distance

Let  Enrique is traveling for t hours

Then Tevin will travel for t-2 hours

We know that distance = speed × time

So [tex]20\times t=28\times (t-2)[/tex]

[tex]20t=28t-56[/tex]

[tex]8t=56[/tex]

t = 7 hours

So after 7 hours Tevin will catch Enrique

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