SOLUTION: two watches are set at 9: am one watch runs 2 min fast every hour. the other watch runs 1 min slow every hour. the faster watch will ahead one hour the slower watch at what time th

Algebra ->  Average -> SOLUTION: two watches are set at 9: am one watch runs 2 min fast every hour. the other watch runs 1 min slow every hour. the faster watch will ahead one hour the slower watch at what time th      Log On


   



Question 1135956: two watches are set at 9: am one watch runs 2 min fast every hour. the other watch runs 1 min slow every hour. the faster watch will ahead one hour the slower watch at what time the next morning.
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
two watches are set at 9: am one watch runs 2 min fast every hour.
the other watch runs 1 min slow every hour.
the faster watch will ahead one hour the slower watch at what time the next morning.
:
The two watches will be 3 min apart after the 1st hour and 3 min more each hour thereafter
That should be 60/3 or after 20 hrs
This should occur at 5 Am the next morning

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number of minutes that go by
+n%2A%28+1+%2B+2+%2F60+%29+ = what the fast clock
shows after +n+ min
+n%2A%28+1+-+1%2F60+%29+ = what the slow clock
shows after +n+ min
-------------------------------
When is the difference in the clocks 1 hr?
+n%2A%28+1+%2B+2%2F60+%29+-+n%2A%28+1+-+1%2F60+%29+=+60+
+n%2A%28+1+%2B+2%2F60+-+1+%2B+1%2F60+%29+=+60+
+n%2A%28+3%2F60+%29+=+60+
+n+=+3600%2F3+
+n+=+1200+ min
Convert 1200 min to hrs
+1200%2F60+=+20+ hrs
9 AM plus 12 hrs is 9 PM
9 PM plus 8 hrs is 5 AM
5 AM the next morning