Question

a 150m long train crosses a milestone in 15 sec and a train of same length coming from opposite direction in 12 sec. what is the speed of other train

Answer 1

Velocity = Displacement/Time

Since it is already given that the length of the to trains are the same,
So,
Velocity of the first train =(150/15)
                                       =10 m/s

Now,
Let the velocity of second train be x
The second train is travelling opposite to each other so, the relative velocity will be,
10+x
Hence,
10+x=(150+150)/12
120 +120x= 300
120x= 180
x=15 m/s
SO,
the velocity of other train is 15m/s

Answer 2

Answer:

Let the speed of the second train be x m/s

Speed of first train =

150

= 10 m/sec

15

Relative speed of trains

= (x + 10) m/s

Total distance covered

= 150 + 150 = 300 metre

∴ Time taken =

300

x + 10

⇒

300

= 12

x + 10

⇒ 12x + 120 = 300

⇒ 12x = 300 – 120 = 180

⇒ x =

180

= 15 m/s

12

=

15 × 18

or 54 kmph.

Explanation:

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