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 13 of 23.

Twinkle said:   1 decade ago
A+B+C=1/4.

[1/16]+[1/12]+C=[1/4].

C=0.1041.

THEREFORE, 1/0.1041=48/5.

i.e: 9*3/5.

Ashim Ray said:   1 decade ago
Why you have shown in the last fraction 48/5 in where the result has come out 5/48?

Shafiyulla said:   8 years ago
Solve my doubt, please.

A+b+c=1/4 correct.

Then how C' s one day work became 1/4?

Kishore said:   1 decade ago
How can we know the that C can do full in (1/how much work 'C ' done in one day) ?

Dumpati Mahesh said:   1 decade ago
@Anusha,

For getting one day work it should be reversed. i.e. 1/(5/48) = 48/5.

Mathivanan said:   10 years ago
Awesome answers the way of explaining is very excellent. Thank you all of you.

Sasi said:   8 years ago
A+b+c-(a+b)=1/4-1/16-1/12=1/4(1/1-1/4-1/3).
4*4**3=48.
=>12-7/48=5/48.

Shalu said:   1 decade ago
@Aparna

Why you substracted 1/4 -7/48 why dont you add 1/4+7/48 ?

Nalini said:   1 decade ago
@reema

take lcm of 1/4 - 7/48
i..e

12-7/48
= 5/48:)
got it??

Kalai said:   1 decade ago
I can't understand how 5/48 becomes 48/5. Can you clarify for me.


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