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Hourglasses

Puzzle:

You have two hourglasses: a 7 minute one and an 11 minute one. Using just these hourglasses, how can you accurately measure time 15 minutes?


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Solution:

1. Start both the 7 minute hour glass & 11 minute hour glass.
2. Wait till the 7 minute hour glass times out. Time is 7 minute!
3. Restart the 7 minute hour glass. At this time 11 minute hour glass will have 4 minutes left to time out.
4. As soon as 11 minute glass times out invert the 7 minute hour glass. Total time now is 11 minutes.
5. After inverting 7 minute hour glass, it will now have 4 minutes left for time out.
6. After these 4 minutes times out, the total time is 15 minutes.



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36 comments:

madhur said...
This comment has been removed by the author.
abhishek said...

7minglass 11minglass
waste 7 min waste 7 min minute
invert it don't change
wste 4 min 11 minute completed
now invert it don't invert it
waste 4 min

thus 11+4 =15 minutes

Anoop said...

run down 7 and 11 minutes simultaneously
after 7mins invert the 7 min
after 11 mins again invert 7 mins

so u will get
7 + 4 + 4 = 15

Praveen Kumar said...

Start with both the Hour Glasses
Lets say A = 7 and B= 11

1) After 7 mins, B will be left with 4 mins, turn A (to restart)

2) B will measure 4 mins (i.e. 11 mins over)
and
A will also measure 4 mins and will be left with 3 mins, turn it upside down

3) Now A will measure remaining 4 mins
---------------------------------------------------------------------------------------------
Step 1 = 7 mins
Step 2 = 4 mins
Step 3 = 4 mins

Total = 11 mins

Anonymous said...

When A is left with 3 mins, how can it measure 4 minutes?

varuas said...

Turn it upside down, the 4 minutes will start ticking

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Kalpana said...

Start both the hour glasses simultaneously. After the 7 min hour glass runs out, 4 mins are left for the other 11 min hour glass to run out. As soon as the 11 min hour glass runs out invert it. 4+11 = 15

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