Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 11)
11.
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
230 m
240 m
260 m
320 m
None of these
Answer: Option
Explanation:

Relative speed = (120 + 80) km/hr

   = 200 x 5 m/sec
18

   = 500 m/sec.
9

Let the length of the other train be x metres.

Then, x + 270 = 500
9 9

x + 270 = 500

x = 230.

Discussion:
66 comments Page 5 of 7.

Jagadheesh said:   1 decade ago
How to find that this problem is need to convert km/hr to m/s or m/s to km/hr. Please explain?

Maneesh said:   1 decade ago
Can anyone please tell me when to add or subtract the given relative speeds.

Ronit said:   1 decade ago
Easy way.

270 + x
---------------- = 9.
33.33+22.22

x = 499.5 - 270.

x = 229.5.

Mancy said:   1 decade ago
@Janani.

The concept of relative speed is still the basic time, speed and distance formula applied to distance between two moving bodies.

In a simple case of the distance.

Formula, a body traveling with a speed of 50 km/h is reducing the gap between its starting point and the finish point by 50 km every hour.
&
In the relative speed case of the distance formula two moving bodies, traveling at a relative speed of 50 km/h towards/away from each other, are reducing/increasing the gap between them by 50 km every hour.

Hope this help.

Janani said:   1 decade ago
I want to know one thing usually where we use or apply this relative speed concept ?

Abhishek Pandey said:   1 decade ago
Always opposite will add and same will be subtract.

Moni said:   1 decade ago
Relative speed should be minus from each train speed because the direction is opposite, isn't it so?

Santosh adithya said:   1 decade ago
Why there is (x+270)/9 acc. to formula (270+x)/500/9 = 9 right?

Kd kannan said:   1 decade ago
To aswin:

100/3 and 120 (5/18).

Two values are equal.

It is another form of 33.3.

Sabira said:   1 decade ago
Speed = 120+80 = 200 km/hr.

200* (5/18) = 500/9m/sec.

Total length = 500/9*9.

= 500 m.

500 - 270 = 230 is the other train length.


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