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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