## Re: [MATH for FUN] Re: [Daily Brain Teaser] Mathematics Problem - 14 January

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• ... How did you get that answer? stevo ... [Non-text portions of this message have been removed]
Message 1 of 8 , Jan 15, 2013
On Tue, Jan 15, 2013 at 1:38 PM, ramsey2879 <ramsey2879@...> wrote:

> **
>
>
>
>
> Not sure if I did this correctly but I got an anwser of 72 degrees
>
How did you get that answer?

stevo

> --- In mathforfun@yahoogroups.com, MorphemeAddict wrote:
> >
> > Assuming no loss of heat, hot water at 120Â°F (or H), and cold water is
> 40Â°F
>
> > (or C), what is the temperature of the water when the bucket becomes
> full?
> >
> > stevo
> >
> > On Mon, Jan 14, 2013 at 5:59 PM, ramsey2879 wrote:
> >
> > > **
>
> > >
> > >
> > > I used t/6 + t/4 - t/12 = 1; 4t = 12 hours or t = 3 hours
> > >
> > >
> > > --- In mathforfun@yahoogroups.com, lavesh rawat wrote:
> > > >
> > > > 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 ?
> > > >
> > > >
> > > > Solution
> > > > Will be updated after 1 day
> > > >
> > > > [Non-text portions of this message have been removed]
> > > >
> > >
> > >
> > >
> >
> >
> > [Non-text portions of this message have been removed]
> >
>
>
>

[Non-text portions of this message have been removed]
• It s the weighted (by volume) average of the two temperatures (3/5)*40 + (2/5)*120. This depends on the fact that the specific heat of water is virtually
Message 2 of 8 , Jan 17, 2013
It's the weighted (by volume) average of the two temperatures (3/5)*40 + (2/5)*120. This depends on the fact that the specific heat of water is virtually constant within the temperature range - in other words temperature is proportional to heat per volume.

Mark

>
> On Tue, Jan 15, 2013 at 1:38 PM, ramsey2879 wrote:
>
> > **
> >
> >
> >
> >
> > Not sure if I did this correctly but I got an anwser of 72 degrees
> >
> How did you get that answer?
>
> stevo
>
> > --- In mathforfun@yahoogroups.com, MorphemeAddict wrote:
> > >
> > > Assuming no loss of heat, hot water at 120ÃÂ°F (or H), and cold water is
> > 40ÃÂ°F
> >
> > > (or C), what is the temperature of the water when the bucket becomes
> > full?
> > >
> > > stevo
> > >
> > > On Mon, Jan 14, 2013 at 5:59 PM, ramsey2879 wrote:
> > >
> > > > **
> >
> > > >
> > > >
> > > > I used t/6 + t/4 - t/12 = 1; 4t = 12 hours or t = 3 hours
> > > >
> > > >
> > > > --- In mathforfun@yahoogroups.com, lavesh rawat wrote:
> > > > >
> > > > > 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 ?
> > > > >
> > > > >
> > > > > Solution
> > > > > Will be updated after 1 day
> > > > >
> > > > > [Non-text portions of this message have been removed]
> > > > >
> > > >
> > > >
> > > >
> > >
> > >
> > > [Non-text portions of this message have been removed]
> > >
> >
> >
> >
>
>
> [Non-text portions of this message have been removed]
>
• Okay, thanks. stevo ... [Non-text portions of this message have been removed]
Message 3 of 8 , Jan 17, 2013
Okay, thanks.

stevo

On Thu, Jan 17, 2013 at 10:23 AM, video_ranger <markjones76@...>wrote:

> **
>
>
> It's the weighted (by volume) average of the two temperatures (3/5)*40 +
> (2/5)*120. This depends on the fact that the specific heat of water is
> virtually constant within the temperature range - in other words
> temperature is proportional to heat per volume.
>
> Mark
>
>
> --- In mathforfun@yahoogroups.com, MorphemeAddict wrote:
> >
> > On Tue, Jan 15, 2013 at 1:38 PM, ramsey2879 wrote:
> >
> > > **
>
> > >
> > >
> > >
> > >
> > > Not sure if I did this correctly but I got an anwser of 72 degrees
> > >
> > How did you get that answer?
> >
> > stevo
> >
> > > --- In mathforfun@yahoogroups.com, MorphemeAddict wrote:
> > > >
> > > > Assuming no loss of heat, hot water at 120Ã‚Â°F (or H), and cold
> water is
> > > 40Ã‚Â°F
>
> > >
> > > > (or C), what is the temperature of the water when the bucket becomes
> > > full?
> > > >
> > > > stevo
> > > >
> > > > On Mon, Jan 14, 2013 at 5:59 PM, ramsey2879 wrote:
> > > >
> > > > > **
> > >
> > > > >
> > > > >
> > > > > I used t/6 + t/4 - t/12 = 1; 4t = 12 hours or t = 3 hours
> > > > >
> > > > >
> > > > > --- In mathforfun@yahoogroups.com, lavesh rawat wrote:
> > > > > >
> > > > > > 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 ?
> > > > > >
> > > > > >
> > > > > > Solution
> > > > > > Will be updated after 1 day
> > > > > >
> > > > > > [Non-text portions of this message have been removed]
> > > > > >
> > > > >
> > > > >
> > > > >
> > > >
> > > >
> > > > [Non-text portions of this message have been removed]
> > > >
> > >
> > >
> > >
> >
> >
> > [Non-text portions of this message have been removed]
> >
>
>
>

[Non-text portions of this message have been removed]
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