Two trains start at the same time from stations A and B, 2500 km apart, and move towards each other at average speeds of 53 km/hr and 47 km/hr respectively. Where will the trains meet?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 1325 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 \(=53+47=100\) km/hr
Time to meet \(\displaystyle =\frac{2500}{100}=25\) hr
Distance run by the train from A \(=53\times25=1325\) km
Distance run by the train from B \(=47\times25=1175\) km
The trains meet 1325 km from station A, that is 1175 km from station B.