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you use the 4 litre bucket to feel the 9 litre bucket then empty the 9 when it is full till you end up with 6 in it as follows

you put 2 buckets of 4 into 9

then 1 litre from 4 to fill 9 then empty 9

put remaining 3 into 9

put 4 more in

then 2 to fill 9 and empty

put remaining 2 in

then 4 more

giving you 6 litres

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My way: (Mechanical Engineering Student)

Take the 9l bucket filled to capacity and use it to fill the 4l bucket twice leaving you with 1l remaining in the 9l bucket. Next, pour that 1l into the 4l bucket. Fill the 9l to capacity again. Using the 9l bucket fill the 4l bucket to capacity leaving you with 6l total in the 9l bucket.

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Q: How do you precisely measure 6 liters of water if you only have one 4 liter bucket and one 9 liter bucket with a steady flow of water?
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