A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both taps are opened simultaneously, then after how much time will the cistern get filled ?
Time taken by tap A to fill the cistern=4 hrs
so work done by tap A in 1 hour = 1/4th
Time taken by tap B to empty the full cistern = 9 hours
so work done by tap B in 1 hour = 1/9th
=> Work done by (A + B) in 1 hour=(1/4 - 1/9)=5/36
Therefore, the tank will fill the cistern = 36/5 hours=7.2 hours.
Workspace
NA
SHSTTON
7
Solv. Corr.
64
Solv. In. Corr.
71
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2 / 5
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A pump can fill a tank with water in 2 hours. Because of a leak, it took hours to fill the tank. The leak can drain all the water of the tank in:
12 buckets of water fill a tank when the capacity of each tank is 13.5 liters. How many buckets will be needed to fill the same tank,if the capacity of each bucket is 9 liters?
Capacity of the tank =(12 x 13.5) liters =162 liters.
Capacity of each bucket =9 liters
Number of buckets needed = 162/9 =18.
Workspace
NA
SHSTTON
67
Solv. Corr.
74
Solv. In. Corr.
141
Attempted
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4 / 5
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One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
Let the slower pipe alone fill the tank in x minutes.
Then, faster pipe will fill it in x/3 minutes.
So, 1/x + 3/x = 1/36
=> 4/x = 1/36
=> x = 144 min.
Workspace
NA
SHSTTON
33
Solv. Corr.
35
Solv. In. Corr.
68
Attempted
0 M:0 S
Avg. Time
5 / 5
Choose the correct option.
Two pipes can fill a tank in 10 hours and 12 hours respectively while a third, pipe empties the full tank in 20 hours. If all the three pipes operate simultaneously, in how much time will the tank be filled?
Given, All the pipes are operate simultaneously
=> Tank filled in 1 hrs = 1/10+1/12-1/20 = 16/120 = 2/15
So, time taken to fill the tank = 15/2 = 7.5 hrs.
Workspace
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