Time and Work - Arithmetic Aptitude Questions and Answers

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A and B can do a job together in 7 days. A is 1 $\frac {3 } { 4 }$ times as efficient as B. The same job can be done by A alone in :

9 $\frac { 1 } {3 }$ days

11 days

12 $\frac { 1 } { 4 }$ days

16 $\frac { 1 } {3 }$ days

Answer : Option B

Explanation :

(A's 1 day's work) : (B's 1 day's work) = $\frac { 7 } {4 }$ :1=7:4

Let A's and B's 1 day's work be 7x and 4x respectively.

Then, 7x + 4x = $\frac { 1 } {7 }$ 11x = $\frac { 1 } {7 }$ x = $\frac { 1 } {7 7}$

A's 1 day's work =[ $\frac { 1 } {7 7} *7]$ = $\frac { 1 } {11}$

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