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Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 26)
Time and Work
26.
A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :
4 days
6 days
8 days
12 days
Answer: Option
Explanation:

(A + B + C)'s 1 day's work = 1 ;
6

(A + B)'s 1 day's work = 1 ;
8

(B + C)'s 1 day's work = 1 .
12

Therefore (A + C)'s 1 day's work
= ( 2 x 1 ) - ( 1 + 1 )
6 8 12
= ( 1 - 5 (
3 24
= 3
24
= 1 .
8

So, A and C together will do the work in 8 days.

Discussion:
53 comments Page 4 of 6.
PRASHANT VERMA said:   6 years ago
1/8+1/12-1/6=1/24.

BECAUSE A+B = 8
B+C = 12
A+C = ?
A+B+C = 6.
Rehan said:   6 years ago
(A+B)+(B+C)+(C+A) = 2 (A+B+C).
1/8 + 1/12+ (C+A) = 2 * 1/6.
Nice dreamer said:   1 decade ago
Why 2 is multiplied with 1/6 ? please explain any one.
Mukesh said:   1 decade ago
Any tell me how to solve this sum in L.C.M?
Ivan said:   3 years ago
Thanks for explaining @Parveen Verma.
(1)
Dimple said:   8 years ago
Thank you for all your explanations.
Kavitha said:   1 decade ago
Why did you take 1/6 (1/12+1/24) ?
Sabarimani said:   1 decade ago
Is b's 1day work=1/6-(1/24+1/12)?
Nandakumar said:   1 decade ago
How can i take 2*1/8-(1/8+1/12)?
Chary said:   7 years ago
good explanation, thanks all.
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