Question

IfA can do a piece of work in 15 days and B can do two-third of that work in 8 days and C can do three fourth of that work in 12 day. In how many days A, B and C together can do the double of that work?​

Answer 1

Answer:

160/17

Step-by-step explanation:

if A take 15 days to do the work, then it will take 30 days to do double of that work. (more the work,more the time it will take to complete it )

if B takes 8 days to do 2/3 work,then it will take :

(2/3)w ⇒8 days

2w⇒8*3= 24 days

∴ it will take 24 days to do double of that work

if C takes 12 days to do 3/4 of the work then:

(3/4)w⇒12

3w⇒12*4=48

w⇒48/3=16

2w⇒16*2=32

now,

work done by A in 1 day to do double of that work= 1/30

work done by B in 1 day to do double of that work= 1/24

work done by C in 1 day to do double of that work= 1/32

work done by a,b,c together in 1 day=

                             1/30+1/24+1/32= $\frac{16+20+15}{480}$=$\frac{17}{160}$

so the no. of days taken by A,B,C together to do the double work=160/17