Latest CAT Aptitude Question SOLUTION: A,B and C can independently do a work in 15 days. they work together for some time after which C leaves. a total of Rs 18000 is paid for the work and B gets RS 6000 more than C. fo

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(#M40036520) CAT Numerical Ability question time and work Keep an EYE

A,B and C can independently do a work in 15 days. they work together for some time after which C leaves. a total of Rs 18000 is paid for the work and B gets RS 6000 more than C. for how many days did A work?

Asked In CAT shrishti jain (10 years ago)

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Dr.Dipin Singh  (10 years ago)

A,B and C can independently do a work in 15 days.
A,B and C together can do a work in 15/3=5 days.


If A & B worked for all time, then
C got Rs 2000, A&B got Rs 8000 each.
cost of each man day = 18000/15= Rs 1200.
so A& B worked for 8000/1200= 20/3 days

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Devendra Marghade  (10 years ago)

20/3 days

If A,B & C together works for 'n' days
'n' days work of A,B & C= n*[(1/15)+(1/15)+(1/15)]=n/5
Work remained= 1-(n/5)=(5-n)/5
Remaining work is done by A & B only for [(5-n)/5]/[(1/15)+(1/15)]=(15-3n)/2 days

Given 'B' gets Rs. 6000 more than C, As A & B works for same days
Amount of A=B, So A+B+(B-6000)=18000, So A=B=8000 & C=2000

As 'A' worked for total n+(15-3n)/2=(15-n)/2 days &
'C' worked for 'n' days, so ratio of their work & earnings
=[(15-n)/2]/n = 8000/2000, n=15/9
So 'A' worked for (15-n)/2=[15-(15/9)]/2= 20/3 days

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Subha SAHA  (5 years ago)

Total work = 60
A — 4 ,, B– 3 ,,,, C — 2
let A &B work for x days
Then work done by A = 4x
B = 3x
C =60- (4x+3x)
So ratio of their share
4x : 3x : 60-7x
Difference between b and c = 3x – (60-7x) = 10x – 60
( 10x – 60)/60 * 18000 = 6000
so,x =8

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