Latest CAT Aptitude Question SOLUTION: A and B can do a work in 20 and 15 days.working together for 6 days.after which b was replaced by c.if the work was finished in next 4 days.The number of days for which c was worke

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(#M40038154) CAT Category question ccc Keep an EYE

A and B can do a work in 20 and 15 days.working together for 6 days.after which b was replaced by c.if the work was finished in next 4 days.The number of days for which c was worked?

Asked In CAT MohanRaj (9 years ago)

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krishna kanth  (9 years ago)

assume total work as LCM of (20,15)=60 units
then, A can do 3 units/day
B can do 4 units/day
if they work together, in one day they will do 7 units/day
i.e. in 6 days they will complete 42 units
remaining 18 units will complete by A and C in 4 days
that means A and C are doing 4.5 units per day
in that A is doing 3 units and remaining 1.5 units is doing by C
to work alone it takes 40 days
here C is worked for 4 days

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santhi   (9 years ago)

4 days because the work was finished after 4 days.

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arti dwivedi  (9 years ago)

a and b totle work is 6 days.
a and c totle work is = 20*c/20+c=4
20c=80+4c
c=5days

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