Question : Two trains start from a certain place on two parallel tracks and in the same direction. The speeds of the trains are 45 km/hr and 40 km/hr respectively. The distance between the two trains after 45 minutes will be:
Option 1: 2 km 500 m
Option 2: 2 km 750 m
Option 3: 3 km 750 m
Option 4: 3 km 250 m
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Correct Answer: 3 km 750 m
Solution : Given: The speeds of the trains are 45 km/hr and 40 km/hr. The relative speed = (45 – 40) = 5 km/hr = 5 × $\frac{5}{18}$ m/s = $\frac{25}{18}$ m/s Distance travelled after 45 minutes = $\frac{25}{18}$ × 45 × 60 = 3750 m = 3 km 750 m Hence, the correct answer is 3 km 750 m.
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