Latest CTS Aptitude Question SOLUTION: A,B and C together can complete a work in 8 days.All the 3 started the work together but C quit after 2 days.If the remaining work is now completed by A and B in 9 days, then how m

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A,B and C together can complete a work in 8 days.All the 3 started the work together but C quit after 2 days.If the remaining work is now completed by A and B in 9 days, then how many days will C alone will take to complete the total work??

Asked In CTS Aakash Verma (9 years ago)

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Siddharth Sinha  (8 years ago)

A + B + C Day's Work = 2/8= 1/4.
Remaining work = 3/4.
3/4 work is completed by A+B in 9 days.
So, work rate of A+B is 9*4/3= 12 days.

A+B+C = 1/8
1/12+1/C = 1/8.
1/C = 1/8-1/12
Solving it C would complete the work in 24 days

Is this solution Helpfull? Yes (12) | No (1)  

smita kumari  (9 years ago)

a+b+c=8 days , 1 days = 1/8
c =2 days , 1 day = 1/2
then, remaining work of a+b= 1/8-1/2= 3/8
so , 9 days work = 9* 8/3=24 days

Is this solution Helpfull? Yes (11) | No (3)  

suresh  (9 years ago)

(A+B+C) work in 1 day = 1/8 (B+C) work in 1 day = 1/12

1/8-1/12 = 24 days

Is this solution Helpfull? Yes (9) | No (4)  

Shashank Gupta  (8 years ago)

Let, Work done in 8days BY A+B+C=X
work done in 1 day BY A+B+C=X/8
work done in 2 day BY A+B+C=2X/8=X/4
Remaining work=X-X/4=3X/4.
work done in 9 day BY A+B=3X/4.
work done in 1 day BY A+B=X/12.
X/12+C=X/8. [.'.A+B+C=X/8]
work done in 1 day by C=X/24
hence, C took 24 days to complete the work X.

Is this solution Helpfull? Yes (2) | No   

vamsi krishna  (9 years ago)

A+B=2C
A+B+C=8 DAYS THEN
2C+C=8DAYS
THEREFORE C=24 DAYS

Is this solution Helpfull? Yes (1) | No (6)  

shamshad begum  (9 years ago)

(A+B+C) work in 2 day=1/4 of work;
A+B completed 3/4 work in 9 days;
A+B 2 day work=(3/4)*2*1/9
=1/6
c=(A+B+C) 2days work -(A+B) 2days work
c total time to complete the work=1/8-1/6
=1/24
24 days

Is this solution Helpfull? Yes (1) | No   

naga  (8 years ago)

-1/72
1/9+c=1/8

Is this solution Helpfull? Yes | No (2)  

niranjan  (8 years ago)

24 days answer

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