Question

Every day, Alex walked a certain distance. As per the given line plot, Alex covered a total distance of

• A. 6$\frac{1}{4}$ km
• B. 4$\frac{1}{2}$ km
• C. 7$\frac{1}{4}$ km

Answer 1

The correct option is C 7$\frac{1}{4}$ km

The given line plot is


From the given plot, the total distance covered = 1$\frac{1}{4}$ + 1$\frac{1}{4}$ + 1$\frac{1}{2}$ + 1$\frac{1}{2}$ + 1$\frac{3}{4}$

= $\frac{5}{4}$ + $\frac{5}{4}$ + $\frac{3}{2}$ + $\frac{3}{2}$ + $\frac{7}{4}$

= $\frac{17}{4}$ + $\frac{6}{2}$

= $\frac{17}{4}$ + $\frac{6}{2}$ $\times$ $\frac{2}{2}$

= $\frac{17}{4}$ + $\frac{12}{4}$

= $\frac{29}{4}$

= 7 $\frac{1}{4}$ km

Hence, he covered 7 $\frac{1}{4}$ km.