Question: Two trains start from A and B, respectively and travel towards each other at a speed of 60 km/h and 45 km/h, respectively. By the time they meet, the first train has travelled 30 km more than the second. The distance between A and B is
Options:
A) 240 km
B) 180 km
C) 210 km
D) 175 km
Show Answer
Answer:
Correct Answer: C
Solution:
- At the time of meeting, let the distance travelled by the second train be x km. Then, distance covered by the first train is $ (x+30)km. $
$ \frac{x}{45}=\frac{x+30}{60} $
$ \Rightarrow $ $ 60x-45x=1350 $
$ \Rightarrow $ $ x=\frac{1350}{15}=90 $
Total distance travelled train $ B=90+30=120km $
$ \therefore $ Difference between point A and B
$ =90+120=210km $