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Question

For the same amount of work, A takes 6 hours less than B. If together they complete the work in 13 hours 20 minutes, find how much time will B alone take to complete the work?


  1. 40 hrs

  2. 10 hrs

  3. 15 hrs

  4. 30 hrs


Solution

The correct option is D

30 hrs


If B alone takes x hours then A alone takes (x - 6) hours for the same work.

1x6+1x=340                  [ 13 hours 20 min = 403 ]

         x+x6(x6)x=340

          3x218x=80x240

                                3x298x+240=0

                                3x290x8x+240=0

                                (x30)(3x8)=0

   x = 30 or x = 83             

Since, time can't be in fraction 

   B alone will take 30 hrs to complete the work.

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