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:
227 comments Page 14 of 23.
Soumya said:
1 decade ago
@Deepika.
C's 1 day work is 5/48.
Here we require C's total work.
Total work should be taken as '1'.
So, 1 day work i.e,5/48*number of days used to complete the work(unknown, so take it as 'x') = total work 1.
Simply, 5/48*x = 1.
5x = 48.
x = 48/5.
So C's total work is 48/5.
C's 1 day work is 5/48.
Here we require C's total work.
Total work should be taken as '1'.
So, 1 day work i.e,5/48*number of days used to complete the work(unknown, so take it as 'x') = total work 1.
Simply, 5/48*x = 1.
5x = 48.
x = 48/5.
So C's total work is 48/5.
Deepika said:
1 decade ago
How is last step is taken 5/48 is reversed to 48/5?
(1)
Suresh said:
1 decade ago
LCM of 4 & 48 is 48.
So 1/4-7/48 = (12*1-7*1)/48.
= 5/48.
So 1/4-7/48 = (12*1-7*1)/48.
= 5/48.
Rajesh said:
1 decade ago
Please explain:
1/4-7/48 = 5/48.
5/48 how it comes?
1/4-7/48 = 5/48.
5/48 how it comes?
Yasodha said:
1 decade ago
How to came 4/48 explain it?
Raj said:
1 decade ago
Why did write 48/5 is in 5/48?
Kishore said:
1 decade ago
How can we know the that C can do full in (1/how much work 'C ' done in one day) ?
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.
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?
Rekha said:
1 decade ago
How this 9 3/5 is got from 5/48?
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