Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 20)
20.
A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
69.5 km/hr
70 km/hr
79 km/hr
79.2 km/hr
Answer: Option
Explanation:

Let the length of the train be x metres and its speed by y m/sec.

Then, x = 8     =>     x = 8y
y

Now, x + 264 = y
20

=> 8y + 264 = 20y

=> y = 22.

Therefore Speed = 22 m/sec = ( 22 x 18 ( km/hr = 79.2 km/hr.
5

Discussion:
46 comments Page 3 of 5.

Rakshi said:   9 years ago
Hi, I can't understand. Why are we taking time as the difference of both?

Jamir said:   9 years ago
Relative time = 20 - 8
= 12
Then,

Speed = Distance/ time
= 264/12
= 22 m/sec
= 22 *15/5 km/h.
= 79.2 km/ h.

Answer = 79.2 km/ h.

Souvanik saha said:   9 years ago
Last one is very smart and short method. Actually I was also doing this. But I forgot to convert m/s to km/hr. For that my answer was 22 m/s. So I thought that I was wrong. Because the answer given in km/hr.

Total distance = 284.

And time taken (20-8) = 12 because it is in same direction.

And now Speed = Distance/Time.

= 284/12.

= 22 m/s.

= 22*18/5 km/hr.

= 79.2 km/hr.
(3)

Vignesh said:   10 years ago
Don't go complex one, we need Speed = Distance/Time.

Total distance = 284.

Time taken to cross is 12 sec (20-8).

Speed = 22 m/s or 79.2 km/hr.
(1)

Rahaman Khan said:   10 years ago
1) Train cross the pole in 8 sec.

Speed = Distance/Time.

Assume the train speed is x and length of train be y.

x = y/8 or y = 8x.

2) Train cross the bride which is 264mts long 20 sec.

x = (264+y)/20.

20x = 264+8x because y = 8x in above.

Solving the above equation we get speed is 22m/sec.

Finally convert the m/sec to km/hr.

22*18/5 = 79.2 km/hr.

Anjani said:   10 years ago
Why we take 8 sec why don't we consider 20 sec?

Vamsy said:   1 decade ago
@Hussaian.

1) km/hr to m/s conversion:
km/hr = a x 5km/18hr.

2) m/s to km/hr conversion:
m/s = a x 18km/5hr.

Hussain said:   1 decade ago
How we got 18/5? Can any one explain me clearly?

Subham kumar said:   1 decade ago
A train passes telegraph post is 40 seconds morning at a rate of 36 km/hr. Then the length of the train is: 8.

Neelam said:   1 decade ago
How you people got 3x = 528?


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