**Problems on Trains Practice Questions **

In this section, we are going to see some practice questions on trains.

**Question 1 :**

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long ?

(A) 40 sec (B) 42 sec (C) 45 sec (D) 48 sec

**Solution :**

First let us convert the speed from km/hr to m/sec.

45 km/hr = 45⋅(5/18) m/sec

= 5⋅(5/2) m/sec

= (25/2) m/sec

Time taken by the train of length b meters to cross a bridge of length l meters is equal to the time taken the by train to cross the distance (l + b) meters.

Total distance to be covered = 360 + 140

= 500 m

Time = Distance / Speed

= 500/(25/2)

Time = 40 seconds

**Question 2 :**

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train ?

(A) 120 m (B) 180 m (C) 150 m (D) None of these

**Solution :**

Time taken by the train of length l meters to cross of a pole is equal to the time taken by the train to cover the distance l meter.

Let x be the length of the train.

Converting the speed from km/hr to m/sec, we get

= 60⋅(5/18) m/sec

= (50/3) m/sec

Time = Distance / Speed

9 = x / (50/3)

x = 9⋅(50/3)

x = 150 m

So, the length of the train is 150 m.

**Question 3 :**

A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is .

**Solution :**

Let x be the length of the train.

Time taken to cross a telegraph post = 6 seconds

1000 m = 1 km

12 km = 12000 m

Distance covered = x + 12000

Time taken = 10 minutes = 600 seconds

(x + 12000) / Speed = 600

Speed = (x + 12000)/600 ------(1)

x / Speed = 6

Speed = x/6 ------(2)

(1) = (2)

(x + 12000) / 600 = x / 6

6(x + 12000) = 600x

600x - 6x = 72000

594x = 72000

x = 121 m

Hence the length of the train is 121 m.

- Find the time taken by the train to pass a man
- Find the time taken by a train to pass a bridge or tunnel
- Train passes a moving object in the same direction
- Problems on finding the length of the train
- Finding the average speed of the round trip
- Finding the Speed When the Distance Traveled is Same
- Two Cars Traveling Same Direction Different Speeds
- Two cars traveling in opposite direction

After having gone through the stuff given above, we hope that the students would have understood how to solve problems on trains.

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