22. A tank has a leak, which would empty it in 8 hours. A tap is turned on which fills at the rate of 4 liters per minute and the tank is now emptied in 12 hours. Find the capacity of the tank.
a) 5670 lit
b) 5760 lit
c) 6570 lit
d) 6750 lit

• ans: b
  1/8-1/x=1/12
  x=24
  capacity=4*60*24=5760
• 9 years agoHelpfull: Yes(11) No(2)
• tank capacity=rate*time
  =4*60*24
  =5760
  
• 9 years agoHelpfull: Yes(4) No(1)
• In 1 minute a tap fill the tank 4 litre
  so,in 8 hours=(8*60)minute=480 minute a tap fill the tank (480*4)=1920 litre.
  according to question 1920 litre will be emptied in 8 hours.
  so,in 12 hours it will be emptied 2880 litre.
  again,the tap fill the tank 4 litre in 1 minute.
  so,in 12 hours=720 minutes the tap fill the tank (720*4)=2880 litre
  so,according to question as the two works(filling the tank & empty the tank) are going on in 12 hours,so the capacity of the tank=(2880+2880)litre=5760litre
• 9 years agoHelpfull: Yes(3) No(0)
• according to the question,
  1/8 * 1/x = 1/12
  solving we get,
  x = 24
  so total capacity is,
  24*4*60 = 5760 lt.
• 9 years agoHelpfull: Yes(2) No(0)
• l.cm of 12,8=24
  capacity=24*4*60
• 7 years agoHelpfull: Yes(0) No(0)