Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 7)
7.
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
8 hours
10 hours
12 hours
24 hours
Answer: Option
Explanation:

A's 1 hour's work = 1 ;
4

(B + C)'s 1 hour's work = 1 ;
3

(A + C)'s 1 hour's work = 1 .
2

(A + B + C)'s 1 hour's work = ( 1 + 1 ) = 7 .
4 3 12

B's 1 hour's work = ( 7 - 1 ) = 1 .
12 2 12

Therefore B alone will take 12 hours to do the work.

Discussion:
97 comments Page 9 of 10.

Ashish said:   1 decade ago
Good question. Reasoning is difficult for this one.

Arumugam said:   4 years ago
A = 1/4,
A+b = 1/3.
B = 1/3-1/4 = 1/12.
And = 12.
(6)

Abhin said:   10 years ago
By the way why we are reciprocating 1/12 into 12?

Shree said:   8 years ago
Clear and detailed explanation. Thank you all.

Anjum said:   9 years ago
Thank you everyone for the clear explanation.

Chiru said:   9 years ago
Thank you everyone for the clear explanation.

Mohit said:   1 decade ago
Why its taken 1/4 and 1/3 ? 4 and 3 why not?

Ankita said:   9 years ago
How, 7/12 - 1/2 = 1/12?

Explain this step.

Paci said:   1 decade ago
How can calculate 7/12 - 1/2 = 1/12?

Don said:   5 years ago
How 7/12 - 1/2 = 1/12? Explain this.


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