Three clocks C1, C2 and C3 show correct time
at 3:00 a.m. Clock C1, uniformly loses 4.5
minutes in an hour, clock Czuniformly loses
1.5 minutes in an hour and clock C3 uniformly
gains 2.5 minutes in an hour. At 11:00 am on
the same day, by how much time will Cy and
C2, C2 and C3, C, and C3 differ respectively?
Answers
Answer: Three clocks C1, C2 and C3 show correct time at 3:00 a.m. Clock C1, uniformly loses 4.5 minutes in an hour . Clock C2, uniformly loses 1.5 minutes in an hour . clock C3 uniformly gains 2.5 minutes in an hour
To find : Difference between clock timing at 11 :00 am
Solution:
Three clocks C1, C2 and C3 show correct time at 3:00 a.m
at 11: 00 am this has been 11 - 3 = 8 hrs
Clock C1, uniformly loses 4.5 minutes in an hour
=> time lost in 8 hrs by C1 = 8 * 4.5 = 36 Minutes
11:00 - 00:36 = 10:24
Time shown by C1 = 10:24 am
Clock C2, uniformly loses 1.5 minutes in an hour
=> time lost in 8 hrs by C2 = 8 * 1.5 = 12 Minutes
11:00 - 00:12 = 10:48
Time shown by C2 = 10:48 am
clock C3 uniformly gains 2.5 minutes in an hour
=> time gained in 8 hrs by C3 = 8 * 2.5 = 20 Minutes
Time shown by C3 = 11:20 am
C1 & C2 differ = 10: 48 - 10:24 = 24 Minutes
C2 & C3 differ = 11: 20 - 10:48 = 32 Minutes
C1 & C3 differ = 11: 20 - 10:24 = 56 Minutes
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