Subject: Quantitative Aptitude
Topic: Time and Work
Sub-topic: Advanced Examples - 6, 11, 18, 22, 32
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I. A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (Set Z) can empty 5/10 of the tank in 10 minutes. If one pipe is added for set X and set Y and set Z’s capacity is increased by 20% on its original value and all the taps are opened at 2.58 p.m., then at what time does the tank get filled? (If it is initially empty.)
a) 3.05 p.m. b) 3.04 p.m. c) 3.10 p.m. d) 3.03 p.m. e) None
II. A tank has an inlet and outlet pipe. The inlet pipe fills the tank in 2 hrs when the outlet pipe is plugged. The outlet pipe empties the tank in 6 hrs when the inlet pipe is plugged.
a. if both pipes are opened simultaneously at a time when the tank is 1/3rd filled, when will
the tank fill thereafter?
b. if there is a leakage also which is capable of draining out the liquid from the tank at half
of the rate of outlet pipe, then what is the time taken to fill the empty tank when both the
pipes are opened?
a) 2hrs, 3hrs b) 3hrs, 4hrs c) 2hrs, 4hrs d) 1hr, 2hrs
III. Two tap A and B can fill a tank in 20 and 30 min respectively while the third tap C can
empty it in 40 min. All three tap ran for 5 minutes with full efficiency, then tap C got closed
and due to dust the efficiency of tap B become 2/3. In what time (approximate) will the tank get filled?
1) 14.80 min 2) 15.90 min 3) 20 min 4) 18 min
IV. A manufacturing job was wrongly estimated to be completed in 10 days by x machines. By deploying 3 extra machines, the job was completed in 12 days. If only one additional
machine was used, how many days more than that estimated time would it have taken to
complete the job?
1) 2x-18/x+3 2) 2x+13/x+1 3) 2x+26/x+1 4) Cannot be determined
V. A bath can be filled by the cold water pipe in 40 minutes and by the hot water pipe in 60
minutes. A person leaves the bathroom after turning on both pipes simultaneously and
returns at the moment when the bath should be full. Finding, however, that the waste pipe
has been open, he now closes it. In 12 minutes more the bath is full. In what time would the waste pipe empty it?
1) 32 min 2) 58 min 3) 48 min 4) 54 min 5) None of these
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