Math, asked by hematannidi586, 1 year ago

A man is standing on a railway bridge which is 180m long. he finds that a train crosses the bridge in 20 sec but himself in 8 sec. find the length of the train and its speed

Answers

Answered by Priyankawanjari
2
The lenth of the train is180 m and the skeed is20 seconds
Answered by harisreeps
0

Answer:

A man is standing on a railway bridge which is 180m long. he finds that a train crosses the bridge in 20 sec but himself in 8 sec, the length of the train is 120m and its speed is 54km/h

Step-by-step explanation:

  • The speed (V) of a body is the distance(d) covered by it divided by the time taken (t) to cover the distance

        V=d/t

From the question, we have

time taken to cross the man t'=8s

the length of the train is the distance crossed, let it be x

⇒the velocity of the train V=x/8 (equation 1)

length of the bridge l=180m

so total distance covered is x+180

time to cross this distance is t=20s

the velocity of the train V=\frac{x+180}{20} (equation 2)

velocity is same

x/8=\frac{x+180}{20}

20x=8x+180*8\\12x=180*8\\x=120m

length of the train x=120m

speed of the train

V=x/8=120/8=15m/s\\V=15*18/5=54km/h

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