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Question
Sanju has two watches with a 12-hour cycle. One of these watches gains one minute a day and the other loses 1 and `1/2` minutes per day. If Sanju sets both the watches at the correct time, how long will it be before they again show the correct time together?
Options
482 days
290 days
1440 days
730 days
MCQ
Solution
1440 days
Explanation:
From I watch gain of 1 min in 1 day
for gaining of 12 hrs `=(12xx60"min")/(1 "min"//"day")=720` day
from IInd watch
A gain of `3/2` min / day
No. of days of 12 hrs `=(12xx60"min")/(3/2"min/day")=480` days
For both watches at the correct time,
LCM of 720 and 480 = 1440 days
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Clock and Calender (Entrance Exam)
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