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

(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.

Gregory wachiye said: 9 years ago

This is awesome. I have gained a lot with the help of this explanations.

Nandhu said: 8 years ago

a+b=8,b+c=12,a+b+c=6.
LCM(8,12,6)=24.
a+b=24/8=3,b+c=24/12=2,a+b+c=24/6=4,
(a+b+c)-(a+b)=1,(a+b+c)-(b+c)=2,
c=1 a=2.
a+c=3,24/3=8.
ans:8.

(1)

Dimple said: 8 years ago

Thank you for all your explanations.

Vikas said: 8 years ago

Thanks for the explanation.

Deep said: 7 years ago

Thanks @Parveen.

Santosh said: 7 years ago

A+B ....8 DAY- 3unit. L.C.M-24 UNIT
B+C......12 DAY - 2 unit.
A+B+C......6 DAY -(24/6)...4 unit .

Then,
A+B+C=4. A+B=3....(3+C=4 =C=1)
C=1.
B+C=2 UNIT .....C=1.
B=1.
A+B=3.
B=1.
A=2 .
A and c's work.
A+c=2+1=3 unit per day,
Total work =24 unit,
A+c=24/3=8 day.

Chary said: 7 years ago

good explanation, thanks all.

Rohit kushwaha said: 7 years ago

Thank you @Bhanu.

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?

Ricky nahar said: 7 years ago

@Nandhu.

Why a=2?

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