question_answer

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)         \[\frac{11}{42}km\]

Correct Answer: A

Solution :

Distance between home and school \[=\frac{6}{7}km\] And, distance between school and landmark \[=\frac{5}{6}km\] \[\therefore \] Distance between home and landmark             \[=\left( \frac{6}{7}-\frac{5}{6} \right)=\frac{36-35}{42}=\frac{1}{42}\,km\]