Question : A train crosses two persons travelling at 4 km/hr and 6 km/hr in the same direction in 12 sec and 14 sec, respectively. The speed of the train is ________.
Option 1: 18 km/hr
Option 2: 26 km/hr
Option 3: 20 km/hr
Option 4: 24 km/hr
Correct Answer: 18 km/hr
Solution : Let the speed of the train be $x$. The relative speed of 1st person and the train is $(x-4)$ km/hr. The relative speed of 2nd person and the train is $(x-6)$ km/hr. According to the question, $(x-4)×\frac{12}{3600}=(x-6)×\frac{14}{3600}$ $⇒(x-4)×6=(x-6)×7$ $\therefore x = 42-24=18$ km/hr Hence, the correct answer is 18 km/hr.
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