Quantitative Aptitude Ques 838

Question: A bus covered a certain distance from village A to village B at the speed of 60 km/h. However on its return journey it got stuck in traffic and covered the same distance at the speed of 40 km/h and took 2 h more to reach its destination. What is the distance covered between village A and B? [RRB (SO) 2016]

Options:

A) 240 km

B) 260 km

C) 200 km

D) Cannot be determined

E) None of the above

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the distance between village A and B be x km. Then, $ \frac{x}{40}-\frac{x}{60}=2 $
    $ \Rightarrow $ $ \frac{x}{4}-\frac{x}{6}=20 $

$ \Rightarrow $ $ \frac{6x-4x}{24}=20 $
$ \Rightarrow $ $ 2x=480 $

$ \therefore $ $ x=240km $