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:
228 comments Page 11 of 23.
Amrut said:
1 decade ago
C s one day work is 5/48. But how you came to 48/5, I mean C finish job in 48/5 days. Is there any formula for this result?
Gokul said:
9 years ago
According to me,
a+b+c=4
a=16
b=12
c=?
C = a * b/b-c,
=16 * 12/16-12,
= 16 * 12/4,
=4 * 12 = 48.
Am I correct?
a+b+c=4
a=16
b=12
c=?
C = a * b/b-c,
=16 * 12/16-12,
= 16 * 12/4,
=4 * 12 = 48.
Am I correct?
Ishwar said:
6 years ago
Because time is inversely proportional to Rate and your calculated rate is 5/48 (this is C`s rate at which C working so).
(1)
Shruti said:
9 years ago
I didn't get still that how 5/48 came from 28/192, actually, I don't know the basics to solve maths so please explain.
Monu Monika said:
9 years ago
Work is inversely proportional to days 5/48 is the answer for work To convert it into days he changed 5/48 into 48/5.
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.
Anup said:
7 years ago
16,12,4 of lcm=48.
16/48=3.
12/28=4.
4/48=12.
So, total works efficiency =12-7=5 per days;
48/5 is the answer.
16/48=3.
12/28=4.
4/48=12.
So, total works efficiency =12-7=5 per days;
48/5 is the answer.
Justine said:
8 years ago
How come that 48 gets retain? when you cross multiply 48/1 * 1/16 = 3 and 48/1 * 1/12 = 4?
Please explain me.
Please explain me.
Naresh kumar said:
2 decades ago
Thanks Aparna and Geetha. You have solved my doubt also.
I am very poor in solving such types of question.
I am very poor in solving such types of question.
Geetha said:
2 decades ago
@Bharathi
In ques they have mentioned that
with the help of C they did the job in 4 days
thatsy A+B+C=1/4
In ques they have mentioned that
with the help of C they did the job in 4 days
thatsy A+B+C=1/4
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