Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 2)
2.
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
45 km/hr
50 km/hr
54 km/hr
55 km/hr
Answer: Option
Explanation:

Speed of the train relative to man = 125 m/sec
10

   = 25 m/sec.
2

   = 25 x 18 km/hr
2 5

   = 45 km/hr.

Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.

x - 5 = 45         x = 50 km/hr.

Discussion:
475 comments Page 3 of 48.

Abhishek said:   1 decade ago
Distance = time * speed 125 = 10 * speed
distance/time = speed 125/10 = (25/2)m/s = speed
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Answer should be in km/hr so convert m/s
km = 1000m and hr = 3600s
m = km/1000 and s = hr/3600
m/s = (3600/1000)km/hr
m/s = (18/5)km/hr
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The condition was speed = (25/2)m/s
= (25/2)(18/5)km/hr
= 45 km/hr
The speed was relative to man so we have taken time in consideration of man
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See further in in view answer.
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(1)

Nagapriya said:   1 decade ago
Now I understand that,.

Distance = Speed*Time.

Time = Distance/Speed.

Speed= Distance/Time.

OK guys, very thanks to your teaching.

Amit said:   1 decade ago
Can any one tell me why we have mulipled 25/2 to 18/5..why it should not be multiplied by 5/18 and also how ?

x - 5 = 45 ....as I understand it should be 40 km/hr
x = 50 km/hr. Because x=45.

45-5=40....hence anyone pls clarify.

Srikanth Mirdati said:   1 decade ago
Could anyone please tell me how we get to 25/2 by dividing 125/10. I want to know how the division of 125/10 is done to get 25/2 an answer would be appreciated greatly.

Shabana said:   1 decade ago
Hi, Really the explanation given by Dattatray & Rahul was superb. Thanks guys.

Manoj Chauhan said:   1 decade ago
125/10 = 12.5
3600/1000 = 36/10 (you should delete the last two zeros)
36/10 = 3.6

x = 12.5 * 3.6

So that x = 45 per hour right (this is relative speed of train)

x = 45 (you add 5 km per hour for train speed because 45 is relative speed of train).

Therefore x = 50 (the required answer).

Nitesh Nandwana said:   1 decade ago
Hai Rahul, well explanation about relative speed and same and opposite directions. Good job keep it up.

K.C.Yogannal said:   1 decade ago
@Vijayagopal.

As speed =length/time they have done 125/10. Where 125 is the length and 10 is the time. Hope you understood.

Atique said:   1 decade ago
Nice Explanation Guys. Thanks a Lot.

Anitha said:   1 decade ago
Why 18/5 please tell me?


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