Question

A train moves at 50 kmph can cross another train of 500 m long which moves at 49 kmph in the opposite direction in
30sec. What is its length ?
1) 825 mts.
2) 480 mts.
3) 375 mts.
4) 325 mts.
5) 750 mts.​

Answer 1

5) 750 mts...is its length

Answer 2

Answer:

Option(4) 325meters length of the train.

Step-by-step explanation:

Explanation:

Given, a train moves at 50km/h can cross another train of 500m long which moves at 49km/h.

As we know that, speed is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.

And the formula of speed,

Speed = $\frac{Total \ distance }{Total\ time }$

Step 1:

From the question we have,

Speed of first train = 50km/h

Speed of second train = 49km/h

And the length of second train = 500m.

Let x be the length of first train.

So, total distance  = (500m + x), total time = 30 sec, and

total speed = (50 + 49)×$\frac{1000}{60 . 60}$ m/s = 27.5m/s

Now, speed = $\frac{Total \ distance}{Total \ Time}$

⇒(27.5) = $\frac{500 +x}{30}$

⇒500 + x = 27.3 × 3 = 825

⇒x = 825 - 500 = 325m

Final answer:

Hence, its length is 325meters.

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