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 4 of 23.

Simran said:   1 decade ago
Thanks for the help.

VASUDEVARAO said:   1 decade ago
Thank you nikitha well s. C method thanku.

Swetha said:   1 decade ago
1/12+1/16
=4+3/48
=7/48

Chandrakant said:   1 decade ago
Wan we do it this way?

A=16days B=12days, and A+B+C=4 days
So 16+12+C = 4
i.e; 28-4 = c
Hence c = 24days

NOTE: Pls tell me if this method is correct, if not then why?

Indian said:   1 decade ago
@ Ovii

Thanks for explanation, Now I understood well.

Tiny said:   1 decade ago
@chandrakant.

Your method is totaly wrong. When c comes in right hand side it will become negative.

Udita said:   1 decade ago
@Saquib Ali.

Please explain the following step.

Units of work in a day by a = 48x/16 = 48 units.

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?

Anshu said:   1 decade ago
"A" can do the 1/16 of the work in a day.
"B" can do the 1/12 of the work in a day.
A + b + c = 1/4 of the work.
1/16 + 1/12 + c = 1/4.
3/48 + 4/ 48 + c = 1/4.
7/48 + c = 1/4.
C = 1/4 - 7/48 = 12-7/48 = 5/48.
C can do 5/48 of the work per day.
Therefore he can complete his work on 48/5 days = 9 3/5.

Rajasekar said:   1 decade ago
How 5/48 is written 48/5?


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