2. A pump can fill a tank with water in two hours. Because
of a leak in the tank it was taking two 1/3 hours to fill
the tank. The leak can drain all the water off the tank in.
(A) 8 hours
(B) 7 hours
(C) 13/3 hours
(D) 14 hours

• Answer 14 hours
  
  in one hour pump fill 1/2 of the tank
  
  it takes 7/3 hours to fill the tank when there is leak . let y be the leak in one hour
  
  then 7/3 * 1/2 - 7/3 * y = 1
  
  7/6 - 7/3 *y = 1
  
  7/3 *y = 1/6
  
  y = 1/6 * 3/7 = 1/14
  
  ie in one hour 1/14 th of tank is empty. therefore it take 14 hours to drain all the water.
• 11 years agoHelpfull: Yes(3) No(0)
• work done by pump=1/2-3/7=1/14
  so tank will empty in 14 hrs..option D
• 11 years agoHelpfull: Yes(2) No(0)