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 $