Your wall clock gets slower by 2 minutes everyday from 12AM on Monday. However, from Monday in the following week, it gets faster by 5 minutes from 12AM. When does the clock display the correct time?
a) Wednesday at 11:59AM
b) Wednesday at 1:15PM
c) Tuesday at 11:59AM
d) Tuesday at 3:10PM
Answers
Answer:
a
Step-by-step explanation:
Solution :-
→ Clock losses in 24 hours = 2 minutes .
and,
→ Clock gains from next monday = 5 minutes .
So,
→ Distance covered by clock = 2 + 5 = 7 minutes { Assume this distance as on number line from (-2) to 5. }
→ Time taken by clock = 24 * 7 = 168 hours .
then,
→ Clock covered 7 minutes in = 168 hours
→ Clock covered 1 minute in = (168/7) hours
→ Clock covered 2 minutes in = (168/7) * 2 = 48 hours .
Therefore,
→ Clock display the correct time = 12AM monday + 48 hours = 12AM wednesday .
since it gets slower by 2 minutes at 12 AM , it shows correct time one minute before that .
Hence, the clock display the correct time at (a) Wednesday at 11:59AM .
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