Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 8)
8.
A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:
15 days
20 days
25 days
30 days
Answer: Option
Explanation:

(A + B)'s 1 day's work = 1
10

C's 1 day's work = 1
50

(A + B + C)'s 1 day's work = 1 + 1 = 6 = 3 . .... (i)
10 50 50 25

A's 1 day's work = (B + C)'s 1 day's work .... (ii)

From (i) and (ii), we get: 2 x (A's 1 day's work) = 3
25

A's 1 day's work = 3 .
50

B's 1 day's work 1 - 3 = 2 = 1 .
10 50 50 25

So, B alone could do the work in 25 days.

Discussion:
146 comments Page 14 of 15.

Rajni Saini said:   1 decade ago
Awoke u r grreaatt dear.thnx a lot.

Deepak said:   9 years ago
@Nagu, nice explanation. Thank you.

Amit Gaikwad said:   6 years ago
@Saurabh.

Thanks for the solution.

Kinnari said:   1 decade ago
I like your method Mr. Awoke. :)

Sowmya said:   1 decade ago
@awoke.

Your method is awesome.

Deepika said:   10 years ago
By adding a+b+c i.e. 1/10+1/50.

Ayesha said:   9 years ago
Your shortcut is great @Awoke.

Ranganayaki said:   8 years ago
Thank you for explaining this.

Gaurav said:   7 years ago
Good, thanks @Shivangi Sharma.

Jagan said:   6 years ago
Awesome method thanks @Awoke.


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