How much Time B will Take to Fill the Remaining Tank?

Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe A is closed, how much time B will take to fill the remaining tank?

  1. 7/3 hours
  2. 15/2 hours
  3. 10/3 hours
  4.  12/5 hours
Anurag Mishra Professor Asked on 26th October 2015 in Maths.
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1 Answer(s)

Answer is (3): 10/3

Explanation:-
Pipe A can fill an empty tank = 6 hours
Therefore, A can an empty tank in an hour = 1/6

Pipe B can fill an empty tank = 8 hours
Therefore, B can fill an empty tank an hour = 1/8

Both pipe can fill an empty tank in 2 hours = 2(1/6 + 1/8)
   = 2 (4 + 3)/24
  = 2 x 7/24
  = 14/24

The remaining empty tank = 1 – 14/24
 = (24 – 14)/24
 = 10/24

Then, time taken by B to fill the tank = 10 x 8/24
 = 10/3 hours

Hence, the answer is (3) 10/3. 

Monis Rasool Professor Answered on 28th October 2015.
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