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 13 of 15.

Naheed said:   5 years ago
Thank you @Awoke your method was so easy.

Thilak said:   5 years ago
How come 1/10, Can you please explain it?

Sumedha said:   1 decade ago
@Awoke.

Your short cut method is great.

Pratiksha said:   1 decade ago
Thanku sneha I getting your explanation.

Dinesh said:   1 decade ago
@AWOKE.

I liked your method. Thank you.

Suganya said:   2 decades ago
How you get that 2*(A's 1day work)=3/25

Vinoth said:   2 decades ago
How u got x (A's 1 day's work) = 3/25

Shweta said:   6 years ago
Thank you @Awoke your method was easy.

Ravi said:   4 years ago
Thanks @Sneha.

You explained it well.

Neeraj said:   4 years ago
Great, Thanks everyone for explaining.
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