SOLUTION: A certain clock marks every hour by striking a number of times equal to the hour and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 t

Algebra ->  Algebra  -> Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: A certain clock marks every hour by striking a number of times equal to the hour and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 t      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 3920: A certain clock marks every hour by striking a number of times equal to the hour and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between n the beginning of the first stroke and the end of the last stroke is 22 seconds. At 12:00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
(A) 72
(B) 50
(C) 48
(D) 46
(E) 44

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
At 6:00 --> STRIKE-PAUSE, STRIKE-PAUSE, STRIKE-PAUSE, STRIKE-PAUSE, STRIKE-PAUSE, STRIKE. ie 11x=22, since the strike event and the pause event is the same amount of time: so, x=2.
At 12:00 --> STRIKE-PAUSE 11 times then a final STRIKE. This is a total of 23 events. As each is 2 seconds, then 23 will take 26 seconds. Answer=D.

Jon.