Question 88406


   Sally can paint ahouse in 4 hours and Jane can paint the same in 6 hours.
How it takes if they paint together the same house?

  Time taken by Sally to paint the house = 4 hrs
   part of the house painted by sally in  1 hr = 1/4
  Time taken by Jane to paint the house  =6 hrs
   part of the house painted by Jane in 1 hr = 1/6
   
  part of the house painted by Sally and Jane together in 1 hr = 1/4+1/6
   [L.C.M  of 4,6 = 12]                                        = 3+2/12
                                                               = 5/12
    5/12 th part of the house is painted by both in 1 hr
   Time taken to paint the entire house by both of them together = 1 divided by 5/12

     time taken to complete the entire house = 12/5 = 2hrs  24mins