Quantitative Aptitude Ques 1179

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 $