Question

Two trains of length 275 metre and 320 are running in opposite directions on parallel tracks. Find the time taken to cross each other if their speed 38 kilometre per hour and 34 kilometre per hour respectively.​

Answer 1

Given that,

Length of train 1 is 275 m and length of train 2 is 320 m. Speed of first train is 38 km/h and that of train 2 is 34 km/h.

To find,

The time taken to cross each other.

Solution,

Two trains are running in opposite direction. Their relative velocity is calculated as :

v = 38 km/h + 34 km/h

v = 72 km/h

or

v = 20 m/s

Total distance = length of train 1 + length of train 2

D = 275 m + 320 m

D = 595 m

Let t is the time when they cross each other. So,

$t=\dfrac{d}{v}\\\\t=\dfrac{595\ m}{72\ m/s}\\\\t=8.26\ s$

So, it take 8.26 seconds to cross each other.

Answer 2

Time and speed

Step-by-step explanation:

• Here the length of train 1 is given 275 m
• Train 2 = 320 m
• speed of 1st train is = 38km/h
• speed of 2nd train is = 34km/h
• Both trains cross each other in opposite direction. The relative velocity has been calculated.  
• V  of both  train is = 38 +34 km/h  
• Total velocity is  = 72 km/h  or 20m/s
• Distance in both train is D = 275 +320 m
• Total D is equal to = D = 595 m
• Now time when each crossed one another is 20m.s  
• t = d/v
• t = 595/ 72
• t = 8.26 m/s

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