SOLUTION: A car going 60 mph is chased by a car going 80 mph. The first car is 1 mile ahead how many minutes will it take to catch up?

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Question 323655: A car going 60 mph is chased by a car going 80 mph. The first car is 1 mile ahead how many minutes will it take to catch up?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You need 2 equations since there are 2 cars.
Let d = the distance in miles the 80 mi/hr car has to go to catch
the 60 mi/hr car
Then d+-+1 = the distance the 60 mi/hr car goes until it is caught by
the 80 mi/hr car
They both will travel for he same amount of time - call it t
Ist car:
d+=+r%2At
d+=+80t
2nd car:
d+-+1+=+60t
d+=+60t+%2B+1
Then, by substitution:
80t+=+60t+%2B+1
20t+=+1
t+=+1%2F20 hrs
1%2F20 hrs x 60 min/hr = 3 min
The 80 mi/hr car takes 3 min to catch the 60 mi/hr car
check:
d+=+80t
d+=+80%2A%281%2F20%29
d+=+4 mi
and
d+=+60t+%2B+1
d+=+60%2A%281%2F20%29+%2B+1
d+=+3+%2B+1
d+=+4 mi
OK