3 person can fill tank in 25 min, a can fill in 30 min , b can fill in 35 min and c can empty the 5 gallon per min then what is the capacity of tank?

• the answer is approximately 230 gallons and if u want exact then it comes 228.25
  
  explanation is given below:
  3 person together fill tank in 25 min hence, calculate the time of person C that in how much time he empty the tank so,
  
  (1/A)+(1/B)-(1/C)=1/25
  
  i.e, (1/30)+(1/35)-(1/C)=1/25 .......... we get,
  
  1/C=23/1050,
  
  while, its given the C can empty 5 gallon per min. therefore
  
  (23/1050)=5
  
  and capacity of tank will get if we solve above expression,
  we get 228.25
• 9 years agoHelpfull: Yes(12) No(5)
• A can fill the tank in 30 minutes
  B can fill the same tank in 35 minutes
  A B C together fill the tank in 25 minutes
  
  
  Equating we get,
  
  1050/23*5 = 228.26 gallons
• 9 years agoHelpfull: Yes(3) No(0)
• how 50 gallons?
  
• 9 years agoHelpfull: Yes(2) No(2)
• frnds can u plzz explain clearly..
• 9 years agoHelpfull: Yes(1) No(0)
• let total capacity =240
  a=8 u/m
  b=6 u/m
  so in 25 min =25*14=350 u
  c can empty=24*5=120 g
  so tatal capacity=350-120=230 gallon
• 5 years agoHelpfull: Yes(1) No(0)
• 50 gallons
• 9 years agoHelpfull: Yes(0) No(5)
• 1/a+1/b+ (-1/c)=1/25
  1/30+1/35-1/c=1/25
  
  1/c=33/1050
  so, according to the question
  33/1050=5
  thus capacity of the tank should be 159.01 approx.
• 9 years agoHelpfull: Yes(0) No(5)
• 70 gallons?
• 9 years agoHelpfull: Yes(0) No(2)