Aptitude - Time and Work - Discussion
Discussion Forum : Time and Work - General Questions (Q.No. 2)
2.
A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:
Answer: Option
Explanation:
| (A + B + C)'s 1 day's work = | 1 | , |
| 4 |
| A's 1 day's work = | 1 | , |
| 16 |
| B's 1 day's work = | 1 | . |
| 12 |
 C's 1 day's work = |
1 | - |  |
1 | + | 1 |  |
= | |
1 | - | 7 | |
= | 5 | . |
| 4 | 16 | 12 | 4 | 48 | 48 |
| So, C alone can do the work in | 48 | = 9 | 3 | days. |
| 5 | 5 |
Discussion:
224 comments Page 9 of 23.
Aditya said:
1 decade ago
'A' work in 16 days.
Working of 'A' in one day is 1/16.
Similarly working of 'C' in one day is 5/48.
So 'C' work finished.
Working of 'A' in one day is 1/16.
Similarly working of 'C' in one day is 5/48.
So 'C' work finished.
Guri said:
1 decade ago
@Aparna.
LCM. Method is the best shortcut but expect common sense more than you have.
LCM. Method is the best shortcut but expect common sense more than you have.
Aaja said:
1 decade ago
Hi,
How to convert decimal to fraction?
How to convert decimal to fraction?
Dushyant Verma said:
1 decade ago
In 4 days.
A --> 25%
B --> 33 %
C --> 100-25-33 = 42 %
42% work done in 4 days then,
100% ---------- (4/42)*100 = 9(3/5).
A --> 25%
B --> 33 %
C --> 100-25-33 = 42 %
42% work done in 4 days then,
100% ---------- (4/42)*100 = 9(3/5).
Happy Singh said:
1 decade ago
Easy method in step by step :
Given values :
A=1/16, b=1/12.
(A+B+C)'S 1 day's work = 1/4.
So we can write,
(A+B+c)=1/4.
(1/16+1/12+C)=1/4.
C=(1/4-(1/16+1/12)).
C=(1/4-7/48).
C=(5/48).
C's one day work is = 5/48,
so, C can do the work in 48/5 days.
Given values :
A=1/16, b=1/12.
(A+B+C)'S 1 day's work = 1/4.
So we can write,
(A+B+c)=1/4.
(1/16+1/12+C)=1/4.
C=(1/4-(1/16+1/12)).
C=(1/4-7/48).
C=(5/48).
C's one day work is = 5/48,
so, C can do the work in 48/5 days.
Yogesh sayam said:
1 decade ago
How calculate answer is 5/48?
Yogesh sayam said:
1 decade ago
5/48 calculation is:
1/4-7/48 is cross multiplication.
28-48/192 = 20/192 (divided by 2) .
= 10/96 Answer is 5/48.
1/4-7/48 is cross multiplication.
28-48/192 = 20/192 (divided by 2) .
= 10/96 Answer is 5/48.
Rekha said:
1 decade ago
How this 9 3/5 is got from 5/48?
Soumyajit said:
1 decade ago
If I want to solve this problem in this way,
Suppose C can do this work in X day.
Then, in 1 day A can do 1/16, B can do 1/12, C can do 1/X.
Then, 1/16 + 1/12 + 1/X = 1/4.
Can I solved this answer in this way?
Suppose C can do this work in X day.
Then, in 1 day A can do 1/16, B can do 1/12, C can do 1/X.
Then, 1/16 + 1/12 + 1/X = 1/4.
Can I solved this answer in this way?
Naim Hussain said:
1 decade ago
For those who can't understand the 5/48 and 48/5 issue, here's my explanation:
C can do 5/48 amount of work in = 1 day.
C can do 1 full work in = 1/5/48 = 48/5 days.
Hope this helps for good.
C can do 5/48 amount of work in = 1 day.
C can do 1 full work in = 1/5/48 = 48/5 days.
Hope this helps for good.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers