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 11 of 15.

Viknesh said:   7 years ago
Here; C's work A+C = 1/4+1/x = 1/2, 1/4-1/2 =1/4,
B+C 1/3-1/4,
4-3/12 = 12days.

Sourabh said:   9 years ago
@Awoke.

Your trick is easy to find the solution for these type of question.

Nitesh Nandwana said:   1 decade ago
@Awoke

Your method is best out of all explanation. Good job, keep it up.

Alekya said:   7 years ago
@Saurabh.

We get A's rate = 6/2 = 3 units/day.
Here, how it comes 6/2?

Sumasree said:   1 decade ago
@Rohit nice your answer, but we always follow shortcuts for speed up.

Serina said:   1 decade ago
How did you get 3/25, if you add 1/10 + 1/50 please explain in brief?

Bhaskar said:   7 years ago
a=b+c.
a+b=10,
c=50.
then b+c+b=10.

2b+c=10,
2b=10-50,
2b=40,
b=20.

ESNALA SIDDA said:   2 months ago
A = B+C.
A + B = 1/10,
2B + C = 1/10,
C = 1/50,
B = 1/25,
B = 25hrs.
(8)

Shweta said:   6 years ago
Thank you @Sneha you made the given solution easier to understand.

Ananya said:   1 decade ago
2 x (A's 1 day's work) = 3/25.
how this get? pls tell me


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