Question

A goods train 250m long is running at a speed of 33km/hr.Behind it another mail train 200m long and running at a speed of 60km/hr. It is running in same direction on a different track & after meeting the goods train overpasses it. Let us find how long will the mail train take to overpass the goods train.

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Answer 1

Given:

Length of goods train = 250 m

Speed of goods train = 33 km/hr

Length of mail train = 200 m

Speed of mail train = 60 km/h

Both the trains are on different tracks and mail train will reach the goods train and then overpasses it.

To find:

The time in which the mail train will overpass the goods train.

Solution:

The total distance to be traveled to overpass = Sum of lengths of both the trains = 250 + 200 = 450 m = 0.450 km

The trains are moving in the same direction, therefore the resultant speed will get subtracted.

Relative speed = Speed of faster train - Speed of slower train = 60 - 33 = 27 km/hr

Now, we have the distance and speed, we have to find the time.

Formula:

$Time =\dfrac{Distance}{Speed}$

$\Rightarrow Time = \dfrac{0.45}{27} = 0.0167\ hours$

Converting in minutes by multiplying with 60:

$0.0167 \times 60 = \bold{1\ minute}$

So, it will take 1 minute for the mail train to overpass the goods train.

Answer 2

see I'm done this in smallar way