A clock gains 10 minutes in every 24 hours. I | vedclass

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Question

(A) The total time elapsed from Monday $8$ am to Wednesday $6$ pm is $24$ hours (Monday $8$ am to Tuesday $8$ am) + $24$ hours (Tuesday $8$ am to Wedn

Vedclass · Accepted Answer

$5:36$ pm

Vedclass · Answer

(A) The total time elapsed from Monday $8$ am to Wednesday $6$ pm is $24$ hours (Monday $8$ am to Tuesday $8$ am) + $24$ hours (Tuesday $8$ am to Wednesday $8$ am) + $10$ hours (Wednesday $8$ am to Wednesday $6$ pm) = $58$ hours.The clock gains $10$ minutes in $24$ hours,which means $24$ hours and $10$ minutes ($145/6$ hours) of the incorrect clock is equal to $24$ hours of a correct clock.Therefore,$1$ hour of the incorrect clock = $24 / (145/6) = 144/145$ hours of the correct clock.For $58$ hours of the incorrect clock,the time elapsed on a correct clock is $(144/145) 	imes 58 = (144 	imes 2) / 5 = 288 / 5 = 57.6$ hours.$57.6$ hours = $57$ hours and $0.6 	imes 60$ minutes = $57$ hours and $36$ minutes.Starting from Monday $8$ am,adding $57$ hours and $36$ minutes:$48$ hours later is Wednesday $8$ am.Remaining $9$ hours and $36$ minutes added to Wednesday $8$ am gives $5:36$ pm.

$A$ clock gains $10$ minutes in every $24$ hours. It is set right on Monday at $8$ am. What will be the correct time on the following Wednesday,when the watch indicates $6$ pm?

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