Question

The distance covered by four persons in a relay race is given in the line plot. Find the total distance covered by them.

• A. 3$\frac{1}{2}$ km
• B. 6$\frac{1}{4}$ km
• C. 5$\frac{1}{2}$ km
• D. 4$\frac{1}{2}$ km

Answer 1

The correct option is B 6$\frac{1}{4}$ km

The given line plot is


Let us find the total distance covered by the four persons in the relay race.

Total distance = 1 $\frac{1}{4}$ + 1 $\frac{1}{2}$ + 1$\frac{3}{4}$ + 1 $\frac{3}{4}$

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

= $\frac{19}{4}$ + $\frac{3}{2}$

= $\frac{19}{4}$ + $\frac{3\times 2}{2\times 2}$

= $\frac{19}{4}$ + $\frac{6}{4}$

= $\frac{25}{4}$

= 6 $\frac{1}{4}$

Hence, the total distance covered by them = 6 $\frac{1}{4}$ km