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Satish Kumar

· started a discussion

· 1 Months ago

Need clearer explanation (Question: 104771.0 )

The explanation is not understandable.

Question:
A tank has a leak which would empty it in 8 hrs. A tap is turned on which admits 6 liters a minutes into the tank, and it is now emptied in 12 hrs. How many liters does the tank hold?
Options:
A) 8260 liters
B) 8450 liters
C) 8640 liters
D) 8660 liters
E) None of these
Solution:

The filler tap can fill the tank in =  \(\frac{12\times8}{12-8}\) hr.

∴ Capacity of tank = 24 × 60 × 6

= 8640 liters.

Knowledge Expert

· commented

· 1 Months ago

Lets take 24 work that is lcm of 8 hours and 12 hours.

then 24 work completed by 8 hours pipe that is 3 work per hour for emptied

then 24 work completed by 12 hours pipe that is 2 work per hour for fill the tank

difference of both that is 1 work per hour

then 24/ 1 ie 24 hour to take to empty the tank

hence tank capacity = 6 * 60 * 24 = 8640.
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