If a clock gains 5 minutes every hour and it is set right at 7 a.m., then what is the
time (approx) when it shows 11 a.m.? *
A. 10 hrs 40 mins.
B. 9 hrs 35 (12/13) mins.
C. 9 hrs 36 (12/13) mins.
D. 10 hrs 30 (9/13) mins.
Answers
Given :- If a clock gains 5 minutes every hour and it is set right at 7 a.m., then what is the time (approx) when it shows 11 a.m.?
Answer :-
given that,
→ clock gains in every 60 minutes = 5 minutes .
so,
→ 11AM to 7AM = 4 hours = 4 * 60 = 240 minutes .
then,
→ in 240 minutes clocks gains = (60/65) * 240 = (12 * 240)/13 = 2880/13 = 221(7/13) .
therefore,
→ Time when clock shows 11AM = 7 + 221(7/13) = 7 + 180minutes + 41(7/13) minutes = 10 hours 41(7/13) minutes (Ans.)
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