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 :
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 |
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So, A and C together will do the work in 8 days.
Discussion:
53 comments Page 3 of 6.
Dimple said:
8 years ago
Thank you for all your 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.
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)
Gregory wachiye said:
9 years ago
This is awesome. I have gained a lot with the help of this explanations.
Raghav said:
9 years ago
Excellent guys! Keep it up.
Suraj said:
9 years ago
In original solution why they take 1/6*2 from where 2 is occur?
Setu kumar said:
10 years ago
How we have taken (2*1/6)?
Sonam said:
10 years ago
For easy understanding:.
A+B= 1/8 --> 1.
B+C= 1/12 --> 2.
A+B+C= 1/6 --> 3.
We need to find A+C.
Substitute equation 1 in equation 3 you will get C= 1/24.
Substitute equation 2 in equation 3 you will get A= 1/12.
Now add A+C --> 1/12 + 1/24 = 1/8.
= 8 days.
Hope this helps you.
A+B= 1/8 --> 1.
B+C= 1/12 --> 2.
A+B+C= 1/6 --> 3.
We need to find A+C.
Substitute equation 1 in equation 3 you will get C= 1/24.
Substitute equation 2 in equation 3 you will get A= 1/12.
Now add A+C --> 1/12 + 1/24 = 1/8.
= 8 days.
Hope this helps you.
(2)
Cheema said:
1 decade ago
How come 3/24?
Y. Balaji said:
1 decade ago
@ Jeev.
Don't worry and don't confuse. Just think.
A+B+C = 1/6 => equation 1.
A+B = 1/8 => equation 2.
B+C = 1/12 => equation 3.
From equation 1&3 (1-3).
A = (1/6) - (1/12) = (1/12) => 4.
From equation 1&2 (1-2).
C = (1/6) - (1/8) = (1/24) => 5.
Now A+C = (1/12) + (1/24) = 1/8.
= 8 days.
Don't worry and don't confuse. Just think.
A+B+C = 1/6 => equation 1.
A+B = 1/8 => equation 2.
B+C = 1/12 => equation 3.
From equation 1&3 (1-3).
A = (1/6) - (1/12) = (1/12) => 4.
From equation 1&2 (1-2).
C = (1/6) - (1/8) = (1/24) => 5.
Now A+C = (1/12) + (1/24) = 1/8.
= 8 days.
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?
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