Question

A,BandC cancomplete a certain work in 8,10 and 12 days respectively.

If they all work together,how many days will take to complete the entire work​

Answer 1

Answer:

[ (A+B)+(C+A)-(B+C)] ‘s one day work =(1/12+1/10) - 1/8

2A ‘s one day work = 7/120

A's one day work = 7/240

[(A+B)+(B+C)-(C+A)] ‘s one day work =1/12+1/8–1/10

2B's one day work =13/120

B's one day work = 13/240

(B+C)+(C+A)’s one day work = 1/8+1/10

2C's one day work = 1/8+1/10-(A+B)

2C ‘s one day work =1/8+1/10–1/12 ie : 17/120

C's one day work = 17/240

A, B&C together one day work : (7+13+17)/240

= 37/240

A, B &C together complete one full work : 240/37

= (6 and 1/2 ) day OR 6.5 day

A alone complete whole work : 240/7 ie : 34.29 day

B alone complete whole work : 240/13 ie : 18.46 days

C alone complete whole work : 240/17 ie : 14.11 days