When the train passes through a pole or tower or light-post or tree or a stationary object

If length of train = x meters and speed of the train = y km/hr, then time taken by the train to pass the stationary object = length of the train/speed of the train = x meters/y km/hr.

**Note:** Change km/hr into
m/sec.

Solved examples to calculate when the train passes through a pole or a stationary object.

**1.** A train 150 m long is running at a uniform speed of 54 km/hr. How much time will it take to cross a pole?

**Solution: **

Speed of train = 54 km/hr

= 54 × 5/18 m/sec

= 15 m/sec

Length of the train = 150 meters

Therefore, time taken by the train to cross a pole = length of train/speed of train

= 150/15 sec

= 10 sec

Thus, train takes 10 seconds to cross the pole.

**2.** Find the time
taken by a train 300 m long, running at a speed of 54 km/hr in crossing the
pole.

**Solution: **

Length of the train = 300 m

Speed of the train = 54 km/hr

= 54 × 5/18 m/sec

= 15 m/sec

Therefore, time taken by the train to cross the pole = 300 m/15 m/sec

= 20 seconds.

**3.** A train is
running at a speed of 45 km/hr. It crosses a tower in 8 seconds. Find the
length of the train.

**Solution: **

Speed of train = 45 km/hr

= 45 × 5/18 m/sec

= 25/2 m/sec

Time takes to cross the tower = 8 seconds

Length of the train = speed × time

= 25/2 × 8 m

= 100 m

**4.** A train is
running at a speed of 126 km/hr. if it crosses a pole in just 7 second, what is
the length of the train?

**Solution: **

Speed of the train = 126 km/hr

Speed of the train = 126 × 5/18 m/sec = 35 m/sec

Time taken by the train to cross the pole = 7 seconds

Therefore, length of the train = 35 m/sec × 7 sec = 245 m

**Relationship between Speed, Distance and Time**

**Problems on Calculating Distance**

**Two Objects Move in Same Direction**

**Two Objects Move in Opposite Direction**

**Train Passes a Moving Object in the Same Direction**

**Train Passes a Moving Object in the Opposite Direction**

**Two Trains Passes in the Same Direction**

**Two Trains Passes in the Opposite Direction**

8th Grade Math Practice

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