Tom walks $1\frac{1}{4}$ from his home and covers the remaining distance of $5\frac{1}{2}$ to his office by taxi. How far is Tom's office from his home?
Given:
Tom walks $1\frac{1}{4}$ from his home and covers the remaining distance of $5\frac{1}{2}$ to his office by taxi.
To find: Here we have to find the distance between Tom's office and his home.
Solution:
Distance covered by Tom on foot = $1\frac{1}{4}$
Distance covered by Tom on foot = $\frac{5}{4}$
Distance covered by Tom via taxi = $5\frac{1}{2}$
Distance covered by Tom via taxi = $\frac{11}{2}$
The distance of Tom's office to his home is = $\frac{5}{4}\ +\ \frac{11}{2}$
The distance of Tom's office to his home is = $\frac{5\ +\ 22}{4}$
The distance of Tom's office to his home is = $\frac{27}{4}$
The distance of Tom's office to his home is = $\mathbf{6\frac{3}{4}}$
So, distance between Tom's office and home is $6\frac{3}{4}$.
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