Latest CTS Aptitude Question SOLUTION: It takes 8, 12 and 16 days for A,B and C resp. to complete a task. How many days will it take if A works on the job for 2 days then B works on it until 25% of the job is left for C

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(#M40007128) CTS Numerical Ability question Time and work problem Keep an EYE

It takes 8, 12 and 16 days for A,B and C resp. to complete a task. How many days will it take if A works on the job for 2 days then B works on it until 25% of the job is left for C to do, and C completes the work?

a) 10 days b) 14 days c) 13 days d) 12 days

Asked In CTS (12 years ago)

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vaithegi  (12 years ago)

work done by A in 1 day = 1/8.
for 2 days its 1/4.
remaining work is 1-1/4=3/4.

25 % of work is done atlast be C.
thrfore it is 1/4.

work done by B = 3/4-1/4 = 1/2.
days for B to complete is (1/2) /(1/12) = 6

days for C to complete 1/4 of the job (1/4) /(1/16) = 4.


A takes 2 days , B takes 6 days and C takes 4 days.
total is 12 days.

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atul  (9 years ago)

workdone by A in 1 day =8
fr 2 days 1/4.
work to be done is 3/4
25% of work is one by C = 25% of 3/4=3/16

work done by B is 3/4-3/16=9/16
no of days fr B to complt 9/16 work =27/4=6days 18 hr
no of days fr C to complt d work is 3 days
total days = 2+6+3+18hr=11days 18 hr = 12 day approxly

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Aniruddha Paul  (5 years ago)

work done by A in 1 day = 1/8.
for 2 days its 1/4.
remaining work is 1-1/4=3/4.

25 % of work is done atlast be C.
thrfore it is 1/4.

work done by B = 3/4-1/4 = 1/2.
days for B to complete is (1/2) /(1/12) = 6

days for C to complete 1/4 of the job (1/4) /(1/16) = 4.


A takes 2 days , B takes 6 days and C takes 4 days.
total is 12 days.

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