Model 3 Opening both taps and leaks Practice Questions Answers Test with Solutions & More Shortcuts
pipes & cisterns PRACTICE TEST [3 - EXERCISES]
Model 1 Basic Pipes & Cisterns problems
Model 2 Filling tank by parts or fractions
Model 3 Opening both taps and leaks
Question : 26 [SSC MTS 2013]
A tank can be filled by two pipes in 20 minutes and 30 minutes respectively. When the tank was empty, the two pipes were opened. After some time, the first pipe was stopped and the tank was filled in 18 minutes. After how much time of the start was the first pipe stopped?
a) 12 minutes
b) 10 minutes
c) 5 minutes
d) 8 minutes
Answer »Answer: (d)
Let the first pipe be closed after x minutes
$x/20 + 18/30$ = 1
$x/20 = 1 - 18/30 = 1 - 3/5 = 2/5$
$x = 2/5 × 20$ = 8 minutes
Using Rule 8,Two taps A and B can fill a tank in x hours and y hours respectively. If both the pipes are opened together, then the time after which pipe B should be closed so that the tank is full in t hoursRequired time = $[y(1 –{t/x})]$ hours
Here, x = 20, y = 30, t = 18
Required time = $[x(1 –{t/y})]$
[Since, first pipe is closed]
= $[20(1 - 18/30)] = 20 × 12/30$ = 8 minutes
IMPORTANT quantitative aptitude EXERCISES
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