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The Caldwells are moving across the country Mr. Caldwell leaves 2.5 hours before Mrs. Caldwell. If he averages 45mph and she averages 55mph, how many hours will it take Mrs. Caldwell to catch up to Mr. Caldwell?

Respuesta :

Answer:

After 11.25 hour Mrs. Caldwell catches Mr. caldwell

Step-by-step explanation:

We have given that Mr. caldwell leaves 2.5 hour before Mrs. Caldwell.

Let the distance is d

When Mrs. Caldwell catches Mr. caldwell they will cover same distance as d

Speed of  Mr. caldwell is 45 mph

And speed of  Mrs. Caldwell. is 55 mph

Let time taken by Mrs. Caldwell is t

Then time taken by Mr. caldwell is t+2.5

So [tex]45(t+2.5)=t\times 55[/tex]

[tex]45t+112.5=55t[/tex]

[tex]t=11.25hour[/tex]

So after 11.25 hour Mrs. Caldwell catches Mr. caldwell

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