Question

From his home, Rahul walk $\frac{6}{7}$ km towards school and then returns $\frac{5}{6}$ km on the same way towards his home to reach a landmark. At what distance will he be now from his home?

• A. $\frac{1}{42}$ km
• B. $\frac{1}{43}$ km
• C. $\frac{30}{42}$ km
• D. $\frac{11}{42}$ km

Answer 1

The correct option is A $\frac{1}{42}$ km

Given that,

Rahul walks $\frac{6}{7}$km towards school in forward direction and walks back $\frac{5}{6}$km in the backward direction.

$\therefore$ Rahul's final distance from his home $=\frac{6}{7}-\frac{5}{6}=\frac{36-35}{7\times 6}=\frac{1}{42}$km