Two trains start at the same time from stations A and B, 1800 km apart, and move towards each other at average speeds of 42 km/hr and 48 km/hr respectively. Where will the trains meet?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 840 km from station A
Trains moving towards each other close the gap at the sum of their speeds. The meeting time then gives the distance each train has run.
Speed of closing \(=42+48=90\) km/hr
Time to meet \(\displaystyle =\frac{1800}{90}=20\) hr
Distance run by the train from A \(=42\times20=840\) km
Distance run by the train from B \(=48\times20=960\) km
The trains meet 840 km from station A, that is 960 km from station B.