# Problems on Trains Questions Answers

• #### 1. A train is 100 meter long and is running at the speed of 30 km per hour. Find the time it will take to pass a man standing at a crossing.

1. 10 seconds
2. 12 seconds
3. 14 seconds
4. 16 seconds
##### Answer And Explanation

Answer: Option B

Explanation:

As we need to get answer in seconds, so never forget to convert speed into meter per second.

Speed = 30 km/hr = 30* 5/18 m/sec
= 25/3 m/sec

Distance = length of train = 100 meter

Required time =
\begin{aligned}
\frac{Distance}{Speed} \\
= \frac{100}{\frac{25}{3}} \\
= 100* \frac{3}{25} = 12 sec \\
\end{aligned}

• #### 2. A train is moving at a speed of 132 km/hour. If the length of the train is 110 meters, how long will it take to cross a railway platform 165 meters long.

1. 7 second
2. 7.5 second
3. 8 second
4. 8.5 second
##### Answer And Explanation

Answer: Option B

Explanation:

As we need to calculate answer in seconds, so first convert speed into meter/sec.

we know 1 km/hr = 1*(5/18) m/sec
So, Speed = 132* (5/18) = 110/3 m/sec

Distance need to be covered in passing the platform =
Length of train + length of platform = 110 + 165
= 275 meters

Time = Distance/Speed

\begin{aligned}
=> Time = 275* \frac{3}{110} = \frac{15}{2} \\
= 7.5 seconds
\end{aligned}

• #### 3. In what time will a train 100 meters long cross an electric pole, if its speed is 144 km/hr

1. 5 seconds
2. 4.5 seconds
3. 3 seconds
4. 2.5 seconds
##### Answer And Explanation

Answer: Option D

Explanation:

First convert speed into m/sec

Speed = 144*(5/18) = 40 m/sec

Time = Distance/speed
= 100/40 = 2.5 seconds

• #### 4. How long does a train 110 meters long running at the speed of 72 km/hour take to cross a bridge 132 meters in length ?

1. 15 seconds
2. 12.1 seconds
3. 10 seconds
4. 8.1 seconds
##### Answer And Explanation

Answer: Option B

Explanation:

Speed = 72 km/hour = 72*(5/18) m/sec
= 20 m/sec

Total distance to be covered = 110+132 = 142 meters

Time = Distance/Speed
= 242/20 = 12.1 seconds

• #### 5. A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length.

1. 20 seconds
2. 30 seconds
3. 40 seconds
4. 50 seconds
##### Answer And Explanation

Answer: Option C

Explanation:

Speed = 45 Km/hr = 45*(5/18) m/sec
= 25/2 m/sec
Total distance = 360+140 = 500 meter

Time = Distance/speed
\begin{aligned}
= 500*\frac{2}{25} = 40 seconds
\end{aligned}

• #### 6. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.

1. 150 meter
2. 145 meter
3. 140 meter
4. 135 meter
##### Answer And Explanation

Answer: Option A

Explanation:

Speed = 60*(5/18) m/sec = 50/3 m/sec

Length of Train(Distance) = Speed * Time

\begin{aligned}
= \frac{50}{3}*9 = 150 meter
\end{aligned}

• #### 7. Length of train is 130 meters and speed of train is 45 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge.

1. 230 meters
2. 235 meters
3. 240 meters
4. 245 meters
##### Answer And Explanation

Answer: Option D

Explanation:

Let the length of bridge is X [as always we do :)]
Speed of train is = 45*(5/18) m/sec = 25/2 m/sec
Time = 30 seconds

Total distance = 130+x
We know Speed = distance/time
so,
\begin{aligned}
\frac{130+x}{30} = \frac{25}{2} \\
=> 2(130+x) = 750 \\
x = 245 \text{ meters}
\end{aligned}

So length of the bridge is 245 meters

Post a comment