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### Discussion :: Time and Work

1. 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 :

2.  A. 9$$\frac { 1 } {3 }$$days B. 11 days C. 12$$\frac { 1 } { 4 }$$days D. 16$$\frac { 1 } {3 }$$days

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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