A clock is set right at 7:10 am on Thursday, which gains 12 minutes in a day. On Sunday if this watch is
showing 3:50 pm. What is the correct time?
3:30 pm
04:30 pm
O 3:10 pm
2:50 prn
Answers
Dear Student,
◆ Answer -
Correct time = 3:10 pm (Sunday)
● Explanation -
Given that clock gains 12 min every day. therefore time shown will be -
Observed time passed = actual time passed + actual time passed × 12 / 24×60
Observed time passed = actual time passed (1 + 1/120) min
According to given data observed time passed is -
Observed time passed =
3:50 pm (Sunday) - 7:10 am (Thursday)
Observed time passed = 3 days 8 hrs 40 min
Observed time passed = 3×24×60 + 8×60 + 40
Observed time passed = 4820 min
Now substitute value,
4840 = actual time passed (1 + 1/120) min
Actual time passed = 4840 / (1 + 1/120)
Actual time passed = 4800 min
Actual time passed = 3 days 8 hrs
So correct time in the clock should have been -
Correct time = 7:10 am (Thursday) + 3 days 8 hrs
Correct time = 3:10 pm (Sunday)
Therefore, correct time in the watch should have been Sunday 3:10 pm.
Hope that's useful..
Given: Correct time in the clock on Thursday is 7:10 am
Incorrect time in the clock on Sunday is 3:50 pm.
Find: Calculate the correct time in the clock.
Solution:
Clock gain 12 minutes in a day. So that it gain half minute or 30 second in an hour.
Time between the 7:10 am on Thursday to 3:50 pm on Sunday is 80 hours.
Therefore, the time gained by the clock is 40 minutes during this duration.
Hence, the correct time is 3:10 pm.
Final answer: The correct time in the clock is 3:10 pm.
#SPJ3