A train is running 3 minutes late and losing 3 seconds per minute .How many more minutes will it take for the train to be running an hour late?
1140 minutes
[I solve the problem in hours and convert to minutes at the end,
just to make the numbers smaller.]
3 seconds per minute=3 minutes per hour
So the lateness of the train (in minutes) is given by:
Minutes late=3+3t, where t is the time in hours.
We want to find the point where the train is 60 minutes (which
equals one hour) late:
60=3+3t
60-3=3t
57=3t
t=57/3=19
So in 19 hours (=19*60=1140 minutes), the train will be 60
minutes, or one hour, late.