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:
587 comments Page 4 of 59.

Sikkanthar said:   1 decade ago
Here they are converting the unit of speed from kmph into m/s.

So they are taking the equal value of each one like.

Km = 1000m.

1 hour = 3600s.

So they are using the value of 5/18 here.

They what formula they were used to solve this problem means.

Length/time = speed.

So we can calculate unknown with help of given data.

Nagaraju said:   1 decade ago
Here we have to think that they are asking the length of train.
First we have conform that all the values given are same format or not .
if not we have to convert them into one format depending on the answers given to us.
Then it is possible to get the correct answer.

The first answer explanation by Sundar is very good .

Aathilakshmi said:   2 years ago
Length of the train = Speed × Time.

Time=9s.

Speed = 60 km/hr. (To convert speed into m/s from km/hr)
1km = 1000m so 60km = 60000m.
1 hr = 3600seconds.

Speed = 60000/3600 m/s.
= 50/3 m/s.

Length of the train = Speed × time.
= 50/3×9.
= 150m.
(78)

Muhammad Abdurrehman said:   9 years ago
Solution:

All Quantities are given in question.

Note: Answer is in the meter so will convert km/hr to m/s.

Given Data:

1. Speed = 60km/hr = 60*(1000/3600) = 100/6 m/s = 16.666m/s.

2. Time = 9 sec.

Sol: We know that speed = distance/ time.

Speed(s) = v/t or v = s * t = 16.666m/sec*9 sec.

So, s = 150 meters.

Madhira kusuma said:   2 years ago
See here :
1km=1000meters
1 hr=3600 sec.

By dividing both meters and seconds here we get =1000/3600.
At final we get 5/18.
Length = (speed×time).
L=(60×5/18).
So here we get = 50/3.
Then finally calculate the total length of the train = (50/3 × 9).
M = 150.

Thank you
(559)

Aaftab ali said:   2 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:   2 months 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.
(151)

Venkat Reddy said:   10 years 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.


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