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Mitchell left Detroit on the interstate driving south towards Orlando at a speed of 60 miles per hour. Clark left Detroit 1 hour later traveling at a speed of 75 miles per hour, following the same route as Mitchell. How long will it take Clark to catch Mitchell?

Respuesta :

raphealnwobi

It would take Clark 4 hours to catch Mitchell

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let d represent the distance at which Clark catches Mitchell. Also, t should represent the time.

For Mitchell:

60 = d/t

d = 60t

Clark left Detroit 1 hour later. Hence:

75 = d/(t - 1)

d = 75t - 75

60t = 75t - 75

15t = 75

t = 5 hours

t - 1 = 5 - 1 = 4 hours

It would take Clark 4 hours to catch Mitchell

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