| 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] |
A) 240 km
B) 260 km
C) 200 km
D) Cannot be determined
E) None of the above
Correct Answer: A
Solution :
| Let the distance between village A and B be x km. |
| Then, \[\frac{x}{40}-\frac{x}{60}=2\]\[\Rightarrow \]\[\frac{x}{4}-\frac{x}{6}=20\] |
| \[\Rightarrow \] \[\frac{6x-4x}{24}=20\]\[\Rightarrow \]\[2x=480\] |
| \[\therefore \] \[x=240\,\,km\] |
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