There are three drain pipes P1,P2 and P3,all of equal capacity fitted to a cylindrical tank of height 6 metres. P1 is fitted at the bottom of the tank,while P3 is fitted at a height of 5 metres above P1, and P2 is fitted between P3 and P1. P1 can alone empty the tank in T minutes and if all the three pipes are in operation, the full tank can be emptied in 2T/3 minutes. What is the height (above P1) at which P2 is fitted to the tank?
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Step-by-step explanation:
can extend the result to cover three pipes. Only thing we have to keep in mind is that P
3
drains the tank and we have to use negative sign for this.
If t is the time taken to fill up the tank when all the three pipes are open, then
t
1
=
3
1
+
5
1
−
4
1
=
60
20+12−15
=
60
17
.
Hence, t=
17
60
. Hence it takes 3
17
9
hours to fill up the tank.
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