How long will a 150 m long train running at a speed of 60 km per hour take to cross a bridge of 300 m?

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

Speed of Train

Relationship between Speed, Distance and Time

Conversion of Units of Speed

Problems on Calculating Speed

Problems on Calculating Distance

Problems on Calculating Time

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

Train Passes through a Pole

Train Passes through a Bridge

Two Trains Passes in the Same Direction

Two Trains Passes in the Opposite Direction

8th Grade Math Practice

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