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?
120 metres
180 metres
324 metres
150 metres
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:
636 comments Page 5 of 64.

Aaftab ali said:   3 years ago
Speed = 60 km/hr
Time = 9
Length = ?

Length = speed * time.

The first step convert km/hr into m/s
Formula is [ km/hr * 5/18 ] = m/s.

So,
60 km/hr * 5/18 = 50/3 m/s.

Now you have speed in metre so find the length now......
Speed * time = length.
50/3 * 9 = ? (Length).
150 = length.

So, the answer is 150 m.
(36)

Ruchita said:   1 year ago
Firstly, you need to check what's given in the question.
So, Now.
THe Time given in seconds.
Distance needed in meters.
So, convert km/hr to m/sec.
1km = 1000m
1hr = 3600sec.
1km/hr = 1000/3600 = 5/18(m/sec).
speed = (60 *5/18) = 50 /3(m/sec).
At last,
The Length = Speed * Time = (50/3 * 9) = 150meters.
(153)

Venkat Reddy said:   1 decade ago
Good @Sai Mohan Reddy.

We can also show like this; for 3 sec_____50 mtr, then 9 sec____? mtr;

50*9/3 = 450/3 or (50*3) = 150 mtr length of the train.

(It is a time saving problem, calculation should take place in seconds. 60 kmph means 60000/3600 (m/sec) = 50 mtr in 3 sec. Then calculate for 9 sec).

Moupiya said:   1 decade ago
Train Cross Stationary object without length.

t = Lt/St.

Lt = length of train.

St = speed of train.

Can I follow this formula for this question as I follow made easy book and for this type of question this formula is used but I'm not getting the answer thru this formula.

Can any 1 help.

Thankyou.

TALADA SANDEEP said:   1 decade ago
Since time is given in seconds , sure you have to convert velocity of train in units of m/sec

Since 1 km = 1000 m
and 1 hr =60 m = 60*60 sec,

According to question,speed 60 km/hr = 60 * (1000/3600) = 50/3 m/sec, time = 9 sec

We know that , distance=speed*time,
therefore length = (50/3)*9 =150 m.

Madhu said:   7 years ago
The train covers its own distance/length in 9 seconds. Therefore, its length is the distance it covers in 9 seconds. Now lets convert the speed into metres and time in seconds. The train covers 60000 metres in 3600 seconds. Therefore in 9 seconds, it would cover;

(60000/3600*9) = 150 metres.

Marylyn Kaka said:   1 decade ago
Speed = distance(length of train) / Time.

Length of train = speed * time.

First, express 9 seconds in hours since speed is in hours.
9 / 3600 = 0.0025.

Length = speed * time.
= 60 * 0.0025.
= 0.15 km.

Convert 0.15 km to meters since options are in meters.
=0.15 * 1000.
=150 m.

Joseph said:   2 decades ago
First convert the km into metres 60km will bcome 60000 metres then divide 60000 with 1 hour that is 60,60000/60 this will give us the speed of the train in mins n then 1000 with 60(to convert the speed in seconds)then multiply the ans with 9 seconds.ie 16.66*9 will give us 150 :)

Saran said:   1 decade ago
Distance = time*speed.
Distance = 9sec*60(km/hr).

Here the the time is in 'seconds' and answer will given into the 'm', so we will convert all the values into the 'm&sec'.

1km = 1000m.
1hr = 3600sec.

Then,
Distance = 9*60(1000/3600).
Distance = 9*60(5/18).
Distance = 150m.

Pradeep said:   1 decade ago
The answer is simple. We are converting the 'kilo-meters/hour' value into 'meters/second'.

Let me explain about converting km/hr into m/s in detail.

1 km = 1000 meters.
1 hr = 3600 seconds.

1 km/hr = 1000/3600 m/s

= 10/36 m/s

= 5/18 m/s.

Therefore 1 km/hr = 5/18 m/sec.


Post your comments here:

Your comments will be displayed after verification.