SOLUTION: If Gina leaves now and drives at 66 kmph she will reach Alton just in time for her appointment. On the other had, if she has lunch first and leaves in 40 min., she will have to dri

Algebra ->  Equations -> SOLUTION: If Gina leaves now and drives at 66 kmph she will reach Alton just in time for her appointment. On the other had, if she has lunch first and leaves in 40 min., she will have to dri      Log On


   



Question 116076: If Gina leaves now and drives at 66 kmph she will reach Alton just in time for her appointment. On the other had, if she has lunch first and leaves in 40 min., she will have to drive at 90 kmph to make her appointment. How far away is Alton?
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
Let us suppose that Alton is x km away.
Time taken to reach Alton driving at 66 kmph is x%2F66 hours.
Time taken to reach Alton driving at 90 kmph is x%2F90 hours.
Now, 40 mins. = 2%2F3 hours.
According to the problem,
x%2F90+%2B+2%2F3+=+x%2F66
x%2F66+-+x%2F90+=+2%2F3
2x%2F495+=+2%2F3
x+=+495%2F3
x+=+165
Hence, Alton is 165 km away.