Homework Help

A, B and C can finish a piece of work in 20,30 and 40 ...

user profile pic

roshanbht | Student | eNoter

Posted May 13, 2013 at 8:11 AM via web

dislike 1 like

A, B and C can finish a piece of work in 20,30 and 40 

days respectively. They started the work together and

 A leaves the work after 5 days. C leaves 10 days before 

completion of the work. In how many days would whole

 work have been finished?

2 Answers | Add Yours

user profile pic

pramodpandey | College Teacher | Valedictorian

Posted May 13, 2013 at 8:23 AM (Answer #1)

dislike 2 like

Let when all they work together can finsh work in x days.

A can finish work in 1 day =(1/20) work

so in 5 days he will finish = (5/20) work

B can  finsh wiork in 1 day= 1/30 work

so he can finsh work in x days= (x/30) work

C can finish work in 1 day =(1/40) work

so in (x-10) days he can finish= (x-10)/40 work

Thus

(5/20)+(x-10)/40+x/30=1

(6.5+3(x-10)+4x)/120=1

30+3x-30+4x=120

7x=120

x=120/7 days.

 

 

user profile pic

roshanbht | Student | eNoter

Posted May 13, 2013 at 9:09 AM (Answer #2)

dislike 0 like

Thankx

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes