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Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?

A. 

12 days

B. 

30 days

C. 

24 days

D. 

18 days

Answer
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Answer with explanation

Answer: Option D

Explanation

1/x + 1/2x = 1/20 + 1/30
3/2x = 1/12
Number of days taken by Arun = 18 days

 

A     +      B        =      C     +     D

|              |                 |             |

Ratio of efficiency         10x   +    5x               9x     +   6x

|________|                 |_________|

15x                           15x

Therefore , ratio of efficiency of A:C  =10:9

Therefore,  ratio of days taken by A:C = 9:10

Therefore, number of days taken by A = 18 days

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Comments

  1. Cynthia Rachel says

    July 5, 2020 at 11:10 pm

    sir , can anyone explain after 2nd step pls. i did not understand

    Reply
    • sravani eda says

      November 9, 2020 at 11:56 am

      we update the explanation please check it.

      Reply

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