Discussion :: Pipes and Cistern
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Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?
Answer : Option D
Explanation :
Part filled in 4 minutes =4 [\( \frac { 1 } { 15 }\)+\( \frac { 1 } { 20 }\)] =\(\frac { 7 } { 15}\)
Remaining part =[1- \(\frac { 7 } { 15}\)]=\(\frac { 8 } { 15}\)
Part filled by B in 1 minute =\(\frac { 1 } { 20 }\)
\(\frac { 1 } { 20 }\):\(\frac { 8 } { 15}\)::1:x
x =[\(\frac { 8 } { 15}\)x1 x20]=10 \(\frac {2 } { 3 } \) min = 10 min. 40 sec.
The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec.
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