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 23 of 23.

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.

Nahida Naaz said:   4 years ago
A -> 16
B -> 12.

Lcm -> 48.

Effi 3 and 4.
4 days work of (A+B) :- 4*7 = 28.
Total work - 4 days work of (A+B).
48- 28= 20.

Remaining work of 'C' will do in 4 days
So , 20/4 = 5.
Hence,
Whole work done by 'C'. 48/5.

Harshal said:   4 years ago
First A=12.
and B=20.

Now the lcm of A and B is 60.
than A and B one day work is 7 and he's work together 7*4=28.
now the 28/60 forestation is 7*15.
and renaming work - total work 28-60=32.
Now 32/60= forestation us 8/15 answer.

Deekshit said:   3 years ago
Why the fraction 5/48 is changed to 48/5? Please explain.


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