a cold water tap can filla bath in 3 min and a hot water tap in 4 min,while a waste pipe can empty the bath in 6 min.if these three are used togther ,how long will it take to fill the bath
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Mathematically you can break down the filling speeds of the taps and pipe in per minute terms.
So, with cold tap it'll be=1/3
Hot tap=1/4
Waste pipe=-(1/6) [emptying capacity]
Now, all three are run together..
(1/3)+(1/4)-(1/6)= 5/12
This is in per minute terms.
So to convert it to actual time in minutes, you just need to inverse it and you'll find the time taken would be 2.4 minutes or 2 minutes 15 secs or 135 secs.
So, with cold tap it'll be=1/3
Hot tap=1/4
Waste pipe=-(1/6) [emptying capacity]
Now, all three are run together..
(1/3)+(1/4)-(1/6)= 5/12
This is in per minute terms.
So to convert it to actual time in minutes, you just need to inverse it and you'll find the time taken would be 2.4 minutes or 2 minutes 15 secs or 135 secs.
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