SOLUTION: Mindy left at 8 am and will arrive at 1 pm. Kelly left at 8 am and will arrive at 2 pm. How many miles is the trip if Kelly is traveling 10 mph slower than Mindy?

Algebra ->  Proportions  -> Lessons -> SOLUTION: Mindy left at 8 am and will arrive at 1 pm. Kelly left at 8 am and will arrive at 2 pm. How many miles is the trip if Kelly is traveling 10 mph slower than Mindy?      Log On


   

Question 118598: Mindy left at 8 am and will arrive at 1 pm. Kelly left at 8 am and will arrive at 2 pm. How many miles is the trip if Kelly is traveling 10 mph slower than Mindy?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Mindy's time: 5hrs
Kelly's time: 6hrs
The distance is the same for both of them
d+=+r%5Bm%5D%2At%5Bm%5D for Mindy
d+=+r%5Bk%5D%2At%5Bk%5D for kelly
r%5Bm%5D%2At%5Bm%5D+=+r%5Bk%5D%2At%5Bk%5D
r%5Bm%5D%2A5+=+%28r%5Bm%5D+-+10%29%2A6
r%5Bm%5D%2A5+=+r%5Bm%5D%2A6+-+60
r%5Bm%5D+=+60 mi/hr
r%5Bk%5D+=+r%5Bm%5D+-+10
r%5Bk%5D+=+60+-+10
r%5Bk%5D+=+50 mi/hr
d+=+r%5Bm%5D%2At%5Bm%5D for Mindy
d+=+60%2A5
d+=+300mi
d+=+r%5Bk%5D%2At%5Bk%5D for kelly
d+=+50%2A6
d+=+300mi
Both ways of finding d agree, so
distance is 300 miles