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.

Laxman biradar said:   7 years ago
Nice explanation @Gaurav Reddy.

Prashant said:   6 years ago
Thanks @Randhir.

Gai3 said:   1 decade ago
Thanks @Nagarjun.

Vasu said:   5 years ago
Thank you @Randhir.

Mani said:   1 decade ago
Please any one explain why we divide 176/8?

Randhir said:   1 decade ago
@Priya,

Speed=Distance/Time.
here Distance=length of train + length of bridge.

in this question we have no idea about the length of train and speed of the train.
so let the length of the train be x metres and speed be y m/sec.
then speed of train y = (x+264)/20.

we can't solve because vale of x and y is unknown.
now speed of the train relative to telegraph post
i.e. y = x/8.
comparing the two above equation
x/8 = (x+264)/20
3x = 528
x = 176 which is length of train.
now put the value of x in any of the above two equation.
therefor speed y = 176/8
y = 176/8 *18/5 (because to convert in kmph)
y = 79.2 km/hr

Krish said:   1 decade ago
S = x/8 m/s.
S = d/t.
x/8 = (264+x)/20.

Solve it and you will get:

x = 176 m.
S = 176/8 = 22 m/s.

Now convert m/s to km/hr.
22*(18/5) = 79.2 km/hr.

That's it.

Angel said:   1 decade ago
Hey can anyone tell me instead of taking x/y=8 , Can we take x/y=20 because it is also time ?

Janaka said:   1 decade ago
In question No. 19 x/y=15 is mentioned as x/15=y. But in this question when x/y=8 is mentiond as x=8y. What is the reason for this? please explain me.

Pavan said:   1 decade ago
Why we didn't add time. While calculating the speed. We taken only 20. Why we didn't take 20+8?


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