You can put this solution on YOUR website! Rate * Time = Work
~Sally~
Rate: 1/4
Time: t hours
~Jane~
Rate: 1/6
Time: t hours
t/4 + t/6 = 1 job
3t/12 + 2t/12 = 1
5t/12 = 1
5t = 12
t = 12/5 or 2.4 hours
or
2 hours and 24 minutes
You can put this solution on YOUR website!
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
(
