Question

Vijay runs for $2\frac{1}{4}$ kilometres and Gantavya walks for $1\frac{2}{5}$ kilometres. Find the total covered travelled by them.

• A. $3\frac{13}{20}km$
• B. $3\frac{11}{20}km$
• C. $4\frac{13}{20}km$
• D. 5 km

Answer 1

The correct option is A $3\frac{13}{20}km$

Distance covered Vijay $=2\frac{1}{4}km$

Distance covered by Gantavya $=1\frac{2}{5}km$

Total distance $=2\frac{1}{4}+1\frac{2}{5}$


$2\frac{1}{4}=\frac{2\times 4+1}{4}=\frac{9}{4}$ and

$1\frac{2}{5}=\frac{1\times 5+2}{5}=\frac{7}{5}$

Thus, $2\frac{1}{4}+1\frac{2}{5}$ $=$ $\frac{9}{4}+\frac{7}{5}$

$=$ $\frac{9\times 5}{4\times 5}+\frac{7\times 4}{5\times 4}$

$=$ $\frac{(45+28)}{20}$

$=\frac{73}{20}$

$=3\frac{13}{20}km$