Aptitude - Time and Work - Discussion
Discussion Forum : Time and Work - General Questions (Q.No. 8)
8.
A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:
Answer: Option
Explanation:
| (A + B)'s 1 day's work = | 1 |
| 10 |
| C's 1 day's work = | 1 |
| 50 |
| (A + B + C)'s 1 day's work = |  |
1 | + | 1 |  |
= | 6 | = | 3 | . .... (i) |
| 10 | 50 | 50 | 25 |
A's 1 day's work = (B + C)'s 1 day's work .... (ii)
| From (i) and (ii), we get: 2 x (A's 1 day's work) = | 3 |
| 25 |
 A's 1 day's work = |
3 | . |
| 50 |
 B's 1 day's work |
|
1 | - | 3 | |
= | 2 | = | 1 | . |
| 10 | 50 | 50 | 25 |
So, B alone could do the work in 25 days.
Discussion:
148 comments Page 5 of 15.
Aunjani Kumar said:
2 decades ago
From (i) and (ii), we get: 2 x (A's 1 day's work) = 3/25
Dear i am not able to understand why 2 multiplied with A's day's work??????
Dear i am not able to understand why 2 multiplied with A's day's work??????
Hilal said:
2 decades ago
B's work=x
C's work=y
hence A's work=x+y
A and B together work= 2x+y
given y=1/50
substituting x=1/25
C's work=y
hence A's work=x+y
A and B together work= 2x+y
given y=1/50
substituting x=1/25
Jay said:
2 decades ago
@sneha.
Your explanation is so simple, thanks a lot.
Your explanation is so simple, thanks a lot.
Ankit said:
1 decade ago
@Awoke
You are the best.
You are the best.
Sun said:
1 decade ago
A+b=10..2
c=1/50
sub (1) in (2)
2b+c=1/10
2b+1/50=1/10
2b=1/10-1/50
2b=5-1/50
2b=4/50
2b=2/25
b=25...
Hence proved
c=1/50
sub (1) in (2)
2b+c=1/10
2b+1/50=1/10
2b=1/10-1/50
2b=5-1/50
2b=4/50
2b=2/25
b=25...
Hence proved
Sumedha said:
1 decade ago
@Awoke.
Your short cut method is great.
Your short cut method is great.
Rajni Saini said:
1 decade ago
Awoke u r grreaatt dear.thnx a lot.
Logunath said:
1 decade ago
We have....
A+B=1/10......(2)
A=B+C,
C=1/50,
We can set,
A-B=C
A-B=1/50......(1)
solving 1 and 2...
A=3/50,
so B=1/25,
B can do it in 25 day's.
A+B=1/10......(2)
A=B+C,
C=1/50,
We can set,
A-B=C
A-B=1/50......(1)
solving 1 and 2...
A=3/50,
so B=1/25,
B can do it in 25 day's.
Pratiksha said:
1 decade ago
Thanku sneha I getting your explanation.
Anchal said:
1 decade ago
Best method is Awoke method, because this is shortcut for doing in competative exams. But for understandin the solution, we can see Nagu's method.
So good job have done by both the guys. Thankyou.
So good job have done by both the guys. Thankyou.
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