| 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 |
A) 240 km
B) 180 km
C) 210 km
D) 175 km
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 \[B=90+30=120\,\,km\] |
| \[\therefore \]Difference between point A and B |
| \[=90+120=210\,\,km\] |
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