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:

9 1 days
5

9 2 days
5

9 3 days
5

10
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

Therefore 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 10 of 23.

Vaishnavi Deshpande said:   3 years ago
Why do not we consider work done by A+B in 4 days and then subtract it from 1 to get work done by C in 4 days? Please anyone explain me.
(2)

Shakti said:   1 decade ago
Let total work = 48.

Then A effi. = 3, b = 4 and find C effi. as (7+n)*4 = 48.

It comes 5.

Hence divide 48 by 5 and get your answer.

Abi said:   1 decade ago
A can do work in 16 days.

Then, A's 1 day work = 1/16.

Meanwhile, C's 1 day work = 5/48 (our ans).

Then, C can do work in 48/5 days.

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).

Teja said:   3 years ago
A = 16
B = 12.

A + B + C = 4.
16,12,4 LCM = 48.
then,16/48 = 3.
12/48 = 4.
4/48 = 12.
Then,C - (A + B) = 12-(3+4) = 5.
then 48/5.
(5)

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.

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:   8 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?

Ishwar said:   5 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:   8 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.


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