SOLUTION: Suppose you drive to work. If you drive at 45 mph, you are one minute early. If you drive at 40 mph, you arrive one minute late. How far do you live from work?

Question 965406: Suppose you drive to work. If you drive at 45 mph, you are one minute early. If you drive at 40 mph, you arrive one minute late. How far do you live from work?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Suppose you drive to work.
If you drive at 45 mph, you are one minute early.
If you drive at 40 mph, you arrive one minute late.
How far do you live from work?
:
let d = your distance from work
Write a time equation; time = dist/speed. The difference of the two trips is 2 min
We dealing mph, so convert 2 min to hrs
- =
multiply equation by the least common multiple, which is 360
360* - 360* = 360*
cancel the denominators
9d - 8d = 6(2)
d = 12 miles
;
:
See if that works, find the actual time of each trip
12/40 = .3 hrs
12/45 = .27 hrs
----------------
differ: .03 hrs which is .03(60) = 2 min
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