Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 27)
27.
A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:
5 days
6 days
10 days
10 1 days
2
Answer: Option
Explanation:

(B + C)'s 1 day's work = 1 + 1 = 7 .
9 12 36

Work done by B and C in 3 days = 7 x 3 = 7 .
36 12

Remaining work = 1 - 7 = 5 .
12 12

Now, 1 work is done by A in 1 day.
24

So, 5 work is done by A in 24 x 5 = 10 days.
12 12

Discussion:
17 comments Page 2 of 2.

Renuka said:   1 decade ago
1-7/12 = 12-7/12 = 5/12.

Kezang said:   1 decade ago
1-7/12 = 5/12, please explain.

ANGEL said:   1 decade ago
(a+b+c) 's 1 day work = 1/24+1/9+1/12=17/72.

So 3 day work = 17/72*3 = 17/24.

Remaining work = 1-17/24 = 724.

1/24 work done by a in 1 day.

7/24 work done in 24*7/24 = 7.

= 7+3 = 10.

Rakesh said:   1 decade ago
1/24 work is done by A in 1 day. How this step comes can give clear explanation?

Shiva said:   1 decade ago
b+c can cmplte in 12/7 days
24-(7*24/12)
=10days

Snehagoud said:   1 decade ago
What is short method for finding the LCM of three numbers please?

Rajender said:   2 decades ago
Are you imaging that 1 day work pending after work done by (b + c) for 3 days


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