Question

If Jim takes 6 days to paint a house alone and Mike takes 8 days to paint the same house alone, what part of the job will be completed if both boys work for 2 days?

Answer 1

here, we compare the rates of work by individual person.

rate of work done by Jim = \(\Large {1\over6}\) per day
rate of work done by Mike = \(\Large {1\over8}\) per day

together, their rate will be \(\Large{{1\over6}+{1\over8}=?}\) perday

Answer 2

that will be the amount of work done in "1" day
in "2" days, the amount of work done will be twice of that

Answer 3

Ahh I see. Thanks very much.

Answer 4

yw

Answer 5

jim takes 6 days to paint the house
thus his 1 day work=1/6
mike take 8 days to complete the work
thus his I day work=1/8
thus jim's and mike's 1 day work together=1/6+1/8
=7/28
total work is completed by jim and mike in days=1/7/28
=4 days
let the total work be 1
work completed in 4 days= 1
work completed in 1 day= 1/4
work completed in 2 days=1/4*2
=1/2

Ans- Jim and Mike will complete half of the work if they will work together for 2 days.