Discussion :: Pipes and Cistern
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Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?
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A.
\(\frac { 5 } { 11 } \) |
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B.
\(\frac {6 } { 11 } \) |
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C.
\(\frac {7 } { 11 } \) |
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D.
\(\frac {8 } { 11 } \) |
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Answer : Option B
Explanation :
Part filled by (A + B + C) in 3 minutes = 3 [\(\frac { 1 } { 30} \) + \(\frac { 1 } { 20} \) + \(\frac { 1 } { 10}] \) = [3 x \(\frac { 1 1} { 20} \)] = \(\frac { 1 1} { 20} \)
Part filled by C in 3 minutes = \(\frac { 3 } { 10}\)
Required ratio = [\(\frac { 3 } { 10}\) x \(\frac {20} { 11} \)] = \(\frac {6 } { 11 } \)
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