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

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Question 1000296: If Gina leaves now and drives 66km/h, she will reach Alton just in time for her appointment. On the other hand, if she has lunch first and leaves in 40 minute, she will have to drive 90 km/h to make her appointment. How far away is alton?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52787) 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.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
If Gina leaves now and drives 66km/h, she will reach Alton just in time for her appointment. On the other hand, if she has lunch first and leaves in 40 minute, she will have to drive 90 km/h to make her appointment. How far away is alton?
With D being distance, form a TIME EQUATION as follows: D%2F66+-+2%2F3+=+D%2F90

Solve to get a distance of: highlight_green%28165%29 km