Latest TCS Aptitude Question SOLUTION: Q. A and B can complete a piece of work in 12 days while B and C in 15 days. A did the work for 3 days, B for 8 days and C for 10 days to complete the work. In how many days C alon

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Q. A and B can complete a piece of work in 12 days while B and C in 15 days. A did the work for 3 days, B for 8 days and C for 10 days to complete the work. In how many days C alone can complete the work?
Option
a)6 days
b)9 days
c)10 days
d)12days

Asked In TCS Surya Narayana K (10 years ago)

Unsolved Read Solution (5)

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Read Solution (5) :

Krishna Chaitanya  (10 years ago)

Ans d) 12 days

Given A and B can complete a piece of work
in 12 days while B and C in 15 days. A
did the work for 3 days, B for 8 days
and C for 10 days to complete the
work.
(A+B)'s 1 day work=1/12.(B+C)'s 1 day work=1/15
Therefore 3(A+B)+5(B+C)+5C=1
=)3(1/12)+5(1/15)+5C=1
On solving we get C's 1 day work=1/12
Therefore C alone can do the work in 12 days.

Is this solution Helpfull? Yes (24) | No (5)  

hemant panchal  (10 years ago)

(A+B+C)'s 1 day work be 1/x
we know (A+B)'s 1 day work is 1/12 and
(B+C)'s 1 day work is 1/15
so, (A+B+C) - (A+B) = C = (1/x)-(1/12) = (12 - x)/12x
(B+C) - C = B = (1/15) - ((12 - x)/12x) = (9x - 60)/60x
(A+B) - B = A = (1/12) - ((9x - 60)/60x) = (60 - 4x)/60x
now,
A's 3 days work + B's 8 days work + C's 10 days work = 1
(3*(60 - 4x)/60x) + (8*(9x - 60)/60x) + (10*(12 - x)/12x) = 1
on solving above equation,we get
x = 6
then, C's 1 day work will be,
C = (12 - 6)/(12*6)
C = 1/12
hence, C alone will complete the work in 12 days.
so, ans = 12 days

Is this solution Helpfull? Yes (12) | No   

tejasvi gamini   (9 years ago)

@varsha
a-3 days,b-8 days=3+5,c-10days=3+5+2

=>a+b+c worked for 3days,b+c for 5 days and c for 2 days
=>3(a+b+c)+5(b+c)+2c=1
=>3(a+b)+5(b+c)+5c=1
=>3(1/12)+5(1/15)+5c=1
=>c=1/12
so 12 days

Is this solution Helpfull? Yes (3) | No   

Shruti  (9 years ago)

ans is 12 days.
(A+B)'s 3day work + (B+C)'s 5day work + C's 5 day work=1
3/12 + 5/15 + c's 5day work =1 .hence c's 5 day work = 5/12 so i day work =1/12 ie C can do the work alone in 12 days.

Is this solution Helpfull? Yes (2) | No (2)  

Varsha  (9 years ago)

Can you explain how this equation was formed? 3(A+B)+5(B+C)+5C=1

Is this solution Helpfull? Yes (1) | No (4)  

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