Simple Mechanics

Classical Mechanics Level 1

The distance between Ahmedabad and Vadodara is 100km. Two trains are set off simultaneously from Ahmedabad and Vadodara towards each other. The speed of these trains are 12.5m/s and 8.33m/s respectively. When will they cross each other.

1.43 hour 1.34 hour 1.33 hour 11.33 hour

Krishna Agrawal by krishna agrawal , 23, India

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1 solution

Caleb Townsend
Feb 18, 2015

One train's speed relative to the other is ( 12.5 + 8.33 ) m/s. (12.5 + 8.33)\text{ m/s.} The distance between them is 100000 m. 100000 \text{m.} Therefore, the time until they pass one another is 100000 m 20.83 m/s = 4800.768 s. \frac{100000 \text{m}}{20.83\text{ m/s}} = \boxed{4800.768\text{ s.}} Convert this to hours since all given answers are in hours. 4800.768 s 3600 s/hr = 1.33 hr \frac{4800.768\text{ s}}{3600\text{ s/hr}} = \boxed{1.33\text{ hr}}

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