Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 26)
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 3 of 6.

Vick said:   1 decade ago
A's = (A+B+C) - (B+C) = 1/6-1/8 = 1/24.
B's = (A+b+C) - (A+B) 1/6-1/12 = 1/12.

A+C's (1/24) + (1/12) = 1/8.

Therefore they can complete in 8 days.

Hussain said:   1 decade ago
Hey guys please say me.

How 1/12+1/24 = 1/8.

I did not understand the logic the lcm of these two numbers is 24.

Jeeva909 said:   1 decade ago
Hi am little week in maths, so please somebody explain me the answer how this [2x1/6]-[1/8+1/12] came?

Monu said:   1 decade ago
Why can't we simply subtract A+B's 1 day work from B+C's 1 day work to get A+C's 1 day work?

Nav said:   7 years ago
Why can't we simply subtract A+B's 1-day work from B+C's 1-day work to get A+C's 1-day work?

Basu said:   1 decade ago
How its come on 1/6-1/2=1/12
1/6-1/8= 1/24
1/12+1/24= 1/8

Anishkumar said:   1 decade ago
Assume A+C as x

so now
2(A+B+C)=1/8+1/12+1/x


2(1/6) =5/24+1/x

finally

x =8

Pandeswari Durai Pandi said:   5 years ago
@Nanthu.

Thank you for using LCM method it makes me to understand it easily.

Gregory wachiye said:   9 years ago
This is awesome. I have gained a lot with the help of this explanations.

Suraj said:   9 years ago
In original solution why they take 1/6*2 from where 2 is occur?


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