Latest CAT Aptitude Question SOLUTION: A and B can do a piece of work in 12 days.B and C can do a work in 15 days.if A is twice as good a workman as C.find in what will B alone do it?

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(#M40038307) CAT Category question ss Keep an EYE

A and B can do a piece of work in 12 days.B and C can do a work in 15 days.if A is twice as good a workman as C.find in what will B alone do it?

Asked In CAT MohanRaj (9 years ago)

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Vivek Jain  (9 years ago)

1/A+1/B=1/12
1/B+1/C=1/15
AND 1/A=2/C
So, B=20DAYS

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khyati  (9 years ago)

(A+B)'s 1day work=1/12
(B+c)'s 1day work=1/15
Take,A's 1 day work =x
then c's 1 day work=x/2
so x+B(1 day work)=1/12
B=1/12 -x
1/12-x+(x/2)=(1/15)[B's 1 day work + C's 1 day work =1/15]
so x=1/30(B's 1 day work)
put this value in B's 1 day work
you will get 1/15
so B alone will complete work in 15 days.

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kumar abhinav  (9 years ago)

answer is 60 because from question we get thata=c/2
1/a+1/b=1/12 and 1/b+1/c=1/15 we get b=c/3 now adding above two equn we get 1/a+1/b+1/b+1/c=1/12+1/15 hence b=60

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Chirag Ranjan Lahiri  (9 years ago)

1/A+1/B=1/12
1/B+1/C=1/15
AND 1/A=2/C
So, B=20DAYS

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