SOLUTION: If Gina leaves now and drives at 66km/h, she will reach Alton just in time for her appointment. On the other hand, if she has lunch firest and leaves in 40 minutes, she will have t

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: If Gina leaves now and drives at 66km/h, she will reach Alton just in time for her appointment. On the other hand, if she has lunch firest and leaves in 40 minutes, she will have t      Log On

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Question 1000300: If Gina leaves now and drives at 66km/h, she will reach Alton just in time for her appointment. On the other hand, if she has lunch firest and leaves in 40 minutes, she will have to drive at 90km/h to make her appointment. How far away is Alton?
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
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Let  D  be an unknown distance to Alton.

If Gina drives at  60 km/h,  she will spend  D%2F60  hours,  or  %28D%2F60%29%2A60 = D  minutes to get Alton.

If Gina drives at  90 km/h,  she will spend  D%2F90 hours,  or  %28D%2F90%29%2A60 = %282%2F3%29%2AD  minutes to get Alton.

According to the condition,  the difference of these times is  40  minutes.  It gives you an equation to determine  D:

D - %282%2F3%29%2AD = 40.

The solution is  D = 120 km.