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 12 of 23.

Khan said:   1 decade ago
A's 1 day work is 1/16.

B's 1 day work is 1/12. As given.

That means C's 5 days work is 5/48 na?

Disha said:   4 years ago
5/48 of the whole work is done in one day. Then one whole work is;
5/48:1::1:x.
1*1/[5/48] = 48/5.

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

Hasan Ali Tariq said:   1 decade ago
@Carlo.

I think Carlo explain it nicely and simply. The issue of inverse value 5/48 to 48/5.

Anusha said:   1 decade ago
I didn't get clearly that how 5/48 is reversed? can anyone help me for better understanding?

Shweta Narkhede said:   9 years ago
Thank you very much friends, I got lots of help because of yours discussion with this topic.

Leena said:   1 decade ago
One day's work is 5/48.

But we want number of days that 'C' alone can do, so 48/5 days.

Gunjan said:   4 years ago
A-15.
B-20.

1/15 + 1/20 = 7/60.
7/60 x 4= 28/60 = 14/30 = 7/15.
( 1 - 7/15 ) = 8/15.

Jeevi said:   1 decade ago
The 5 is base and 5 table 9*5=45 remain 3 so you should write 9 3/5 are you understand.

Guri said:   1 decade ago
@Aparna.

LCM. Method is the best shortcut but expect common sense more than you have.


Post your comments here:

Your comments will be displayed after verification.