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 22 of 23.

Dinesk said:   1 decade ago
Nice aparna.

Neelam said:   1 decade ago
Thanks uthaap, I was confused about the cross multiplication. Now you explained in easy manner.

Jagan said:   1 decade ago
@ Uthappa

1/4-7/48 = ((48*1)-(7*4))/(4*48) //cross multiplication

=(48-28)/192 = 20/192 //ok........ now its divisible by 4

=5/48 // r u got it?

Uthappa.U.K said:   1 decade ago
1/4-7/48 cannot be equal to 5/48. Can anyone explain this to me?

Shantanu said:   1 decade ago
Reema
look
A's 1 day's work = 1/16
because he took 16 days to complete the task

similarly
C's 1 day's work =5/48
so total no. of days will be 48/5

Naresh kumar said:   1 decade ago
Thanks Aparna and Geetha. You have solved my doubt also.

I am very poor in solving such types of question.

Reema said:   1 decade ago
How did 5/48 come explain it?

Sowjanya said:   1 decade ago
Thanks geeta you solved my doubt.

Geetha said:   1 decade 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

Bharathi said:   1 decade ago
How should know A, B, C work is 1/4.


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