Latest TCS Aptitude Question SOLUTION: Each of A,B,C need a certain unique time to do a certain work.C needs 1hr less than A to complete the work.Working together they require 30min to complete 50percent of the job.The

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(#M40011283) TCS question Keep an EYE

Each of A,B,C need a certain unique time to do a certain work.C needs 1hr less than A to complete the work.Working together they require 30min to complete 50percent of the job.The work also gets completed if A & B start working together and A leaves after 1hr and B works for further 3 hrs.How much work does C do per hour?
a)16.6%
b)33.3%
c)66.6%
d)50%

Asked In TCS kirankarthik (11 years ago)

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TANMOY PAL  (11 years ago)

Suppose A takes A hrs,B takes B hrs.C wud take (A-1) hrs

Work done by A in 1/2 hrs=1/2A,B=1/2B,C=1/2(A-1)
Hence (1/2A)+(1/2B)+{1/2(A-1)}=1/2.......(i)

Also,wen A n B work,A works for 1 hr and B for 4 hrs..
Hence...(1/A)+(4/B)=1....(ii)

Solve (2) and get 1/B in terms of A..Put values of 1/B and 1/C in (1) and solve,u vl get a quadratic equation..Solve it and A=3 hrs

C=A-1 hrs= 2 hrs...Hence in 1 hr,C does 1/2 of work or 50%

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Sachin Tyagi  (10 years ago)

Let us consider the time taken by A be x hours.
Then A = 1/x; C = 1/(x-1)
Working together they required 30 mins to complete 50 % of the work.
So, they will take 1 hour to complete the whole work.
A + B + C = 1/1=1 - - - (1)
1*(A+B) + 3B = 1
B = (1-A)/4
= (1/4)-(1/4x)
By substituting the values of A, B and C in (1),
x=1/3 or 3.
A have taken more than one hour. so, x=3 hours and hence C have taken x-1=2 hours.
So, C can complete 50% of the work per hour.

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tj roxxy  (11 years ago)

pls send me all questions u have i have apti on 22 sept mumbai id- tjroxxy@gmail.com

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