Aptitude - Problems on Trains - Discussion
Discussion Forum : Problems on Trains - General Questions (Q.No. 1)
1.
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Answer: Option
Explanation:
| Speed = |  |
60 x | 5 |  m/sec |
= | |
50 | m/sec. |
| 18 | 3 |
Length of the train = (Speed x Time).
 Length of the train = |
|
50 | x 9 | m = 150 m. |
| 3 |
Discussion:
584 comments Page 2 of 59.
SANTOSH KUMAR M said:
1 decade ago
I'll Give Simple Logic Answer.
i.e.,
WKT,
Speed = Distance/Time.
So,
The speed of the train is given 60km/hr.
Convert Train Speed In meters and hours into Seconds.
That is,(60*1000)/(60min*60sec).
i.e.,1 km=1000m.
1 Hour=60min.
1 min= 60sec.
We get 16.67m/s.
That is, the train traveled 16.67 meters in 1 second.
Then multiply 9 seconds with 16.67 meters.
Then length of the train traveled 150 meters in 9 seconds.
i.e.,
WKT,
Speed = Distance/Time.
So,
The speed of the train is given 60km/hr.
Convert Train Speed In meters and hours into Seconds.
That is,(60*1000)/(60min*60sec).
i.e.,1 km=1000m.
1 Hour=60min.
1 min= 60sec.
We get 16.67m/s.
That is, the train traveled 16.67 meters in 1 second.
Then multiply 9 seconds with 16.67 meters.
Then length of the train traveled 150 meters in 9 seconds.
(1)
Ermias Ch. said:
3 years ago
Speed = distance/time or velocity = distance/time or s = s/t.
Distance = speed*time.
= 60km/hr*9sec.
= 60(1km=1000m/1hr=3600sec)*9sec
(i.e. 1km = 1000m , 1hr = 60min, 1min = 60sec)
Sso 1hr = 60min*60sec.
= 60(1000m/3600sec)*9sec
= 60(10/36m/sec)*9sec,
= 60(0.277m/sec)*9sec,
= 60(2.493m),
= 149.58m = 150m answer.
Distance = speed*time.
= 60km/hr*9sec.
= 60(1km=1000m/1hr=3600sec)*9sec
(i.e. 1km = 1000m , 1hr = 60min, 1min = 60sec)
Sso 1hr = 60min*60sec.
= 60(1000m/3600sec)*9sec
= 60(10/36m/sec)*9sec,
= 60(0.277m/sec)*9sec,
= 60(2.493m),
= 149.58m = 150m answer.
(60)
Shunmuk Siva Narappa R said:
1 year ago
To solve this question, you can use the formula:
Length of train = (Speed of train * Time taken to cross the pole).
Given:
Speed of train = 60 km/hr.
Time taken to cross the pole = 9 seconds.
First, convert the speed from km/hr to m/s.
60 km/hr = 60*(5/18) = 50/3 m/s.
Now, plug the values into the formula:
Length of train = (50/3 * 9).
Length of train = 150 meters.
Therefore, the length of the train is 150 meters.
Length of train = (Speed of train * Time taken to cross the pole).
Given:
Speed of train = 60 km/hr.
Time taken to cross the pole = 9 seconds.
First, convert the speed from km/hr to m/s.
60 km/hr = 60*(5/18) = 50/3 m/s.
Now, plug the values into the formula:
Length of train = (50/3 * 9).
Length of train = 150 meters.
Therefore, the length of the train is 150 meters.
(95)
Ajay said:
1 decade ago
Guy's why we multiply (speed x time) to find length.
train is going with 50/3 meter in one second,
suppose this train passes this pole in 1 second then train length would be 50/3 meter. (because 50/3 meter is covered by 1 second)
now suppose this train passes this pole in 2 second then train length would be (50/3)x 2 meter
now here train passes this pole in 9 second so the train length would be (50/3) x 9 = 150 meter
train is going with 50/3 meter in one second,
suppose this train passes this pole in 1 second then train length would be 50/3 meter. (because 50/3 meter is covered by 1 second)
now suppose this train passes this pole in 2 second then train length would be (50/3)x 2 meter
now here train passes this pole in 9 second so the train length would be (50/3) x 9 = 150 meter
Sumanth kumar said:
2 years ago
First convert the unit km/hr into m/s, because the length of the train is given in meters.
->so ,1km=1000m and 1 hr=1*60*60=3600 secs.
Now ,as we all know, the formula for speed in terms of distance is
speed =distance /time.
=>(60*1000/3600) m/s = distance/9 secs.
=>60*5/18 = length of train/9(time taken to cross the pole by train)
=>9*60*5/18 = length of the train.
=>length of the train =150 m.
->so ,1km=1000m and 1 hr=1*60*60=3600 secs.
Now ,as we all know, the formula for speed in terms of distance is
speed =distance /time.
=>(60*1000/3600) m/s = distance/9 secs.
=>60*5/18 = length of train/9(time taken to cross the pole by train)
=>9*60*5/18 = length of the train.
=>length of the train =150 m.
(71)
Rakshith devraj said:
1 decade ago
Guys check this out. !
This comment is to make you understand conversion of km/hr to m/s by using easy method. ,
Observe carefully conversion of km/hr to m/s. ,
12*1=12.
12*2=24.
12*3=36.
12*4=48.
12*5=60.
For any number (which has to be converted to m/s from km/hr) coming as the result (r) of multiplication table of 12. , you can easily write it as (quotient*10) /3 m/s. ,
Example:- 60km/hr = 50/3 m/s.
This comment is to make you understand conversion of km/hr to m/s by using easy method. ,
Observe carefully conversion of km/hr to m/s. ,
12*1=12.
12*2=24.
12*3=36.
12*4=48.
12*5=60.
For any number (which has to be converted to m/s from km/hr) coming as the result (r) of multiplication table of 12. , you can easily write it as (quotient*10) /3 m/s. ,
Example:- 60km/hr = 50/3 m/s.
Ashik said:
1 decade ago
Dear Friends.
The problem is really nice ans soothing. I solved it firstly but when I saw the solution, I confused to see the calculation. After a deep concern and explanation I think it really a nice explanation. Okay friends after that thank to Sundar for posting another problem and solution. Thank to Kartik, Dhessappan, Jain Thomas, Rita, Valimithu, Jayanthi, Vishnu, Poonm, poja, Sunny, Sara and others.
The problem is really nice ans soothing. I solved it firstly but when I saw the solution, I confused to see the calculation. After a deep concern and explanation I think it really a nice explanation. Okay friends after that thank to Sundar for posting another problem and solution. Thank to Kartik, Dhessappan, Jain Thomas, Rita, Valimithu, Jayanthi, Vishnu, Poonm, poja, Sunny, Sara and others.
Vagdevi said:
7 years ago
Speed=distance/time -> Distance=speed * time.
As time in seconds, we have to change the speed to m/sec from km/hr.
For doing so we have to multiply the speed with 5/18 (km/hr=1000m/3600 sec=5/18).
Then the distance travel by train is 60*9*5/18=150m.
Because of the train crosses the pole, The distance travelled by the train equal to the length of the train.
Therefore the length of the train is 150 m.
As time in seconds, we have to change the speed to m/sec from km/hr.
For doing so we have to multiply the speed with 5/18 (km/hr=1000m/3600 sec=5/18).
Then the distance travel by train is 60*9*5/18=150m.
Because of the train crosses the pole, The distance travelled by the train equal to the length of the train.
Therefore the length of the train is 150 m.
Mhs said:
1 year ago
The train is running at 60 km per hour and it crosses the poll in 9 seconds to calculate the length of the train the formula is length = speed * time
let's calculate;
60 km = 60000 m.
60 min = 60 * 60 = 3600 sec,
let's calculate speed per second:
60000/ 3600 = 16.666666 = 16.666666 m/s.
In one second train covered the 16.666666 m.
so the train crossed the poll in 9 second.
so;
16.666666 * 9 = 150.
let's calculate;
60 km = 60000 m.
60 min = 60 * 60 = 3600 sec,
let's calculate speed per second:
60000/ 3600 = 16.666666 = 16.666666 m/s.
In one second train covered the 16.666666 m.
so the train crossed the poll in 9 second.
so;
16.666666 * 9 = 150.
(195)
Vigneshwaran said:
2 weeks ago
We are given speed as 60 km/h.
But we need the answer in meters per second (m/s).
1. First, we convert kilometres to metres:
1 km = 1000 meters.
So 60 km = 60 × 1000 = 60,000 meters.
2. Next, convert hours to seconds:
1 hour = 60 minutes
= 60 × 60 = 3600 seconds.
3. Now divide the distance by time:
60,000 ÷ 3600 = 16.666… ≈ 16.67 m/s.
then 16.6 x 9 = 150.
Then the final answer is 150 meters.
But we need the answer in meters per second (m/s).
1. First, we convert kilometres to metres:
1 km = 1000 meters.
So 60 km = 60 × 1000 = 60,000 meters.
2. Next, convert hours to seconds:
1 hour = 60 minutes
= 60 × 60 = 3600 seconds.
3. Now divide the distance by time:
60,000 ÷ 3600 = 16.666… ≈ 16.67 m/s.
then 16.6 x 9 = 150.
Then the final answer is 150 meters.
(62)
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