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Maths Puzzle
Three inlets A,B & C fills the tank and kept open any one at a time. B is twice efficient and is opened for double the time that of A and C is thrice efficient and opened for duration three times that of A. If the tank gets filled in 12 hours then what part of tank is filled by C ?
Read Solution (Total 2)
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- 9/14 part of tank is filled by C.
A is open for 2 hrs
B is open for 4 hrs
C is open for 6 hrs.
If C takes c hrs to fill the tank, then A takes 3c hrs and B takes 3c/2 hrs to fill the tank.
Tank filled by A,B and C are 2/3c , 8/3c and 6/c respectively.
2/3c + 8/3c +6/c = 1
c= 28/3 hrs
tank filled by tap C = 6/c= 6*3/28=18/28= 9/14 part of tank.
- 11 years agoHelpfull: Yes(4) No(1)
- @Raman : Could u please explain, why B takes 3c/2 hrs to fill the tank.
And how 2/3c, 8/3c & 6/c values are calculated? - 11 years agoHelpfull: Yes(1) No(0)
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