A wall clock gains 2 minutes in 12 hours,whil | vedclass

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Question

(B) The wall clock gains $2$ minutes in $12$ hours,which is equivalent to gaining $6$ minutes in $36$ hours.The table clock loses $2$ minutes in $36$

Vedclass · Accepted Answer

$12$ noon,after $135$ days

Vedclass · Answer

(B) The wall clock gains $2$ minutes in $12$ hours,which is equivalent to gaining $6$ minutes in $36$ hours.The table clock loses $2$ minutes in $36$ hours.Since one clock gains and the other loses,the relative difference in time between the two clocks increases by $6 + 2 = 8$ minutes every $36$ hours.$36$ hours is equal to $1.5$ days.Therefore,a difference of $8$ minutes is created in $1.5$ days.For the clocks to show the same time again,the total difference must be $12$ hours,which is $720$ minutes.To find the number of days for a $720$ minute difference:$	ext{Days} = \frac{1.5 	ext{ days}}{8 	ext{ minutes}} 	imes 720 	ext{ minutes} = 1.5 	imes 90 = 135$ days.Thus,both clocks will show the same time after $135$ days at $12$ noon.

$A$ wall clock gains $2$ minutes in $12$ hours,while a table clock loses $2$ minutes every $36$ hours. Both are set right at $12$ noon on Tuesday. The correct time when both show the same time next would be

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