Find distance, given travel times and driving rates.

sandyk109

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May 7, 2007
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If Gina leaves now and drives at 66 kn/h, she will reach Alton just in time for her appointment. On the other hand, if she has lunch first and leaves in 40 minutes, she will have to drive 90 km/h to make her appointment . How far away is Alton?
 
This looks awfully familiar. Please see the response on the other one.
 
If she leaves 40 minutes later, her time is t-2/3. Because 40 minutes is 2/3 hours. Remember, consistent units.

The distance is the same regardless of her speed.

Therefore, \(\displaystyle \L\\90(t-\frac{2}{3})=66t\)

Solve for t.
 
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