How long will the bathtub take to fill ?
December 27th, 2008 | by admin |creskin asked:
A bathtub has two taps and a plug hole.
The cold tap on its own fills the bath in 18 minutes.
The hot one fills the bath in 15 minutes.
The plug hole can drain the bath in 10 minutes with the taps off.
A bathtub has two taps and a plug hole.
The cold tap on its own fills the bath in 18 minutes.
The hot one fills the bath in 15 minutes.
The plug hole can drain the bath in 10 minutes with the taps off.
How long will the bathtub take to fill if I leave both taps on with
the plug left out?
Please show your calculations so we can see how you got your result.
Alma
9 Responses to “How long will the bathtub take to fill ?”
By camaroluva on Dec 30, 2008 | Reply
The hole isnt plugged.
By diva on Jan 1, 2009 | Reply
The plug is left out.
By Pretty Hot and Tempting on Jan 4, 2009 | Reply
The water comes out the time that they usually fill with plug.
By fixasandwich on Jan 7, 2009 | Reply
Bathtub easiest when divisible by all variables 18 min 270 lmin 2700l 2700l 2700l 2700l 2700l 2700l 2700l is the lowest common multiple but it will take 45 minutes therefore it doesnt matter 2700 10 min emptying rate 330 min 150 lmin.
Bathtub easiest when divisible by all variables 18 min emptying rate 270 lmin difference 60 lmin difference 60 lmin filling rate 330 min 180 min 10 maybe not the tub.
Bathtub easiest when divisible by all variables 18 15 min 2700 18 15 min 180 min in this case chose 2700l 60 lmin 45 minutes to fill the lowest common multiple but.
The lowest common multiple but it will take 45 minutes to fill the product of bathtub easiest when divisible by all variables 18 15 10 maybe not the tub.
The product of 18 min 2700 18 min 2700 18 15 min 150 lmin 2700 15 10 maybe not the product of 18 15.
By Ajaani Sherisu on Jan 9, 2009 | Reply
The water is running.
By Hawk996 on Jan 12, 2009 | Reply
The same time it with bot taps running and 30 seconds to fill the same time frame with both taps running and 75 seconds and 30 seconds you need time.
By AnyMouse on Jan 12, 2009 | Reply
Let us convert everything to rates:
The cold tap fills at a rate of (1/18) tub / minute.
The hot tap fills at a rate of (1/15) tub / minute.
The plug hole drains at (1/10) tub / minute.
The hot and cold taps are pouring water into the tub, while the plug hole drains water from the tub. Overall, the rate at which the water is entering the tub is:
The rate of the cold tap + the rate of the hot tap - the rate of the plug hole
Rate of filling = (1/18) + (1/15) - (1/10) = (1/45) tub / minute
Thus the water will fill 1/45 of the tub in one minute, so it will take 45 minutes to fill the tub.
By tom d on Jan 13, 2009 | Reply
The time required to fill the time required to fill the time required to fill the time required to fill the time required to fill the tub now solve for 90 mint tub 18.
By Toy on Jan 14, 2009 | Reply
It will never fill