Plz help me in understanding this question :)
If both the hour hand and minute hand start at the same position at 12 o'clock when is the first time , correct to a fraction of a minute , that the two hands will be together again?
I understood the question that logically it will 1:01 minute
But how do i write in fraction
In answer it is 60/11 , i dont get where 11 is from ?

Question

Plz help me in understanding this question :)
If both the hour hand and minute hand start at the same position at 12 o'clock when is the first time , correct to a fraction of a minute , that the two hands will be together again? 
I understood the question that logically it will 1:01 minute 
But how do i write in fraction 
In answer it is 60/11 , i dont get where 11 is from ?

tylerd · Answer

the hour hand makes one rotation every 12 hours

the minute hand makes one rotation every 60 minutes.

tylerd · Answer

er every hour you could say to make it simpler

anonymous · Answer

K so where 11 is coming from in answer

anonymous · Answer

it will be a time between 1 o'clock and 2 o'clock the hour and minute hand be together again...

anonymous · Answer

Yes

anonymous · Answer

because the hour hand is already at 1 while the minute hand is at 12 at 1 o'clock... so the minute hand will travel several minutes before it coincide with the hour hand again...

anonymous · Answer

Is it 1:06 or 1:07 logically

tylerd · Answer

could you put this into a circular motion problem?

anonymous · Answer

Sorry i dont know initially i thought it was easy question

tylerd · Answer

im not the OP im just wondering

tylerd · Answer

oh

anonymous · Answer

actually this is a clock problem in algebra... with an aid of angle measurement...

anonymous · Answer

In the text book it just says "brain teaser " and the question

anonymous · Answer

If u divide 60/11 u get 5.45 minute that means after 1 :05.45 they were together what i dont get is with wat calculation they got 5.45

anonymous · Answer

that is correct...

tylerd · Answer

wouldnt it be 60/12?

anonymous · Answer

Yes i know but i dont know how to solve it

tylerd · Answer

1:05

anonymous · Answer

@TylerD  no in answer it is 60/11 after 1 o"clock

tylerd · Answer

oh i think i c

anonymous · Answer

if x - is the number of minutes traveled by minute hand
x/12 is the minute space that will travel by hour hand
the hour hand is already 5 minute ahead of minute hand
so the appropriate relationship would be...
x = 5 + x/12

anonymous · Answer

the real time would be 1:05.45...

anonymous · Answer

@Orion1213  thank you ur the best

anonymous · Answer

Thank u everyone for helping

anonymous · Answer

no i'm not, it so happens i'm familiar with this problem...

ganeshie8 · Answer

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ganeshie8 · Answer

say you and your friend are running on a circular track

ganeshie8 · Answer

and lets say you run 60 times faster than your lazy friend

tylerd · Answer

12 times faster

anonymous · Answer

Srry to cut u @ganeshie8  how come hour hand is 5 minute ahead of minute hand wont be the other way round

ganeshie8 · Answer

didn't get what you mean by 5 minutes ahead of minute hand
@TylerD  why 12 times faster ?

tylerd · Answer

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