How Long would they Take Complete a Job?

Arvind is thrice as efficient as Vijay and Vijay is twice as efficient as Kamal. If Arvind, Vijay and Kamal work together, how long would they take to complete a job that Vijay takes 10 days to complete?

  1. 11/20 days
  2. 20/9 days
  3. 11/9 days
  4. 9/11 days
Monis Rasool Professor Asked on 26th May 2015 in Maths.
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1 Answer(s)

Answer: (b) 20/9 days
Explanation:-
According to question,
Arvind is thrice as efficient as Vijay means, A = 3V
and Vijay is twice as efficient as Kamal means, V = 2K
Vijay complete a job = 10 days
then, Kamal complete this job = 2 x 10= 20 days
and Arvind complete this job = 10/3 days

Arvind, Vijay and Kamal together work in a day = 3/10 + 1/10 + 1/20
= (6 + 2 + 1)/20
= 9/20

Hence, Arvind, Vijay and Kamal together complete the job = 20/9 days

Anurag Mishra Professor Answered on 28th May 2015.
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