A clock is set right at 1 p.m. If it gains one minute in an hour, then what is the true time when the clock indicates 6 p.m. in the same day?	Choose the correct answer.
A) 55 5⁄61 minutes past 5
B) 5 minutes past 6
C) 5 minutes to 6
D) 59 1⁄64 minutes past 5
E) None of these
Time interval indicated by incorrect clock   = 6 p.m – 1 p.m = 5hrs.   Time gained by incorrect clock in one hour   = + 1 min. = +1⁄60 hr.   Using the formula, True time interval /Time interval in incorrect clock   = 1 /1+hour gained in 1 hour by incorrect clock   ⇒ Truetimeinterval/5=1/1+1/60   ⇒ True time interval = 5×60/61=4 56/61   ∴ True time = 1 p.m. + 4 56/61 hrs.   = 5 p.m. + 56⁄61 hrs. = 5 p.m. + 56⁄61 × 60 min.   = 555⁄61 minutes past 5.   55 5⁄61 minutes past 5nswer 55 5⁄61 minutes past 5
<result>A</result>
A clock is set right at 1 p.m. If it gains one minute in an hour, then what is the true time when the clock indicates 6 p.m. in the same day?