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CAT 2001 | Question: 9

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$\text{A}$ can complete a piece of work in $4$ days. $\text{B}$ takes double the time taken by $\text{A, C}$ takes double that of $\text{B},$ and $\text{D}$ takes double that of $\text{C}$ to complete the same task. They are paired in groups of two each. One pair takes two-thirds the time needed by the second pair to complete the work. Which is the first pair?

  1. $\text{A, B}$
  2. $\text{A, C}$
  3. $\text{B, C}$
  4. $\text{A, D}$

1 Answer

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6 6 votes

Time taken by A to complete a work=4 days

Time taken by B to complete a work=8 days

Time taken by C to complete a work=16 days

Time taken by D to complete a work=32 days

 

Time taken by pair (A,D) to complete a work=4 + 32=-36 days

Time taken by pair (B,C) to complete a work=8 +16 =24 days

(B,C) takes two thirds  time Taken by (A,D) to complete the work.

Time taken by (B,C)= $\frac{2}{3}*36=24$

 

Hence,Option (4)A,D is the Answer.

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