Question : Two trains with a speed of 80 km/hr and 120 km/hr, respectively, are 500 km apart and face each other. Find the distance between them 10 minutes before crossing.
Option 1: 72.33 km
Option 2: 33.33 km
Option 3: 63.33 km
Option 4: 52.74 km
Correct Answer: 33.33 km
Solution : Relative speed = 80 + 120 = 200 km/hr Time = 10 minutes = $\frac{10}{60}$ = $\frac{1}{6}$ hour $\therefore$ The distance covered in 10 minutes = $200 \times \frac{1}{6}$ = 33.33 km Hence, the correct answer is 33.33 km.
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