**Mathematics Problem - 14 January**

I want to fill my bucket using both cold and hot water.

I have two taps for both cold and hot water. The hot water tap fills the bucket in exact 6 hours and cold water tap fills the bucket in exact 4 hours.

I turn both of them simultaneously but i forgot to turn off another tap which remove the water out of bucket. This tap can empty the bucket in 12 hours.

How Long will it take to fill the bucket ?

**For Solution :**Click Here

3hr

ReplyDelete3 hours

ReplyDelete5 hours

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ReplyDelete3 hours ;

ReplyDeleteHot water tap takes 6 hours to fill - for one hour - 1/6 of the bucket

Cold water tap takes 4 hours to fill - for one hour - 1/4 of the buckets.

And the leak takes 12 hrs to empty - for one hr - 1/12.

so 1/4+1/6-1/12 = 1/3

for hour fills 1/3, so it takes 3 hrs to fill bucket