A) \[6\,km\]
B) \[5\frac{1}{2}\,km\]
C) \[7\,km\]
D) \[6\frac{1}{2}\,km\]
Correct Answer: B
Solution :
Let the distance from home to office be x km. \[\therefore \,\] Time taken initially to reach office \[=\,\,\,\frac{x}{22}\] Time taken finally to reach office \[=\,\,\,\frac{x}{22+11}=\frac{x}{33}\] hours Time interval \[=3+2=5\] minutes \[\therefore \,\,\,\frac{x}{22}-\frac{x}{33}=\frac{5}{60}\Rightarrow \frac{3x-2x}{66}=\frac{5}{60}\] \[\Rightarrow \,\,\,\,x=\frac{5}{60}\times 66=\frac{11}{2}=\underline{\mathbf{5}\frac{\mathbf{1}}{\mathbf{2}}\mathbf{km}}\]
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