1.

if a 350m long train runs at a speed of 50km/h, then how much time will it take to cross a 150 m long platform​

Answer»

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  • Speed Of Train= 50km/h
  • Length of Train = 350m
  • Length of PLATFORM= 150m

To Find

  • how MUCH TIME will it take to cross a 150 m long platform?

Here's,

~~~~~~~~~\sf \: Speed = 50km/h \\  \sf  Speed= 50× \frac{ 1000m}{3600s} \\  \sf  Speed=  \frac{ 125m}{9s}

\sf \: time \: taken \:  \:  |  \:  \:  \:  \:  \:  \: 1 \:   \:  \:  \: \:  \:   | \: x \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  \sf \: distance \: cover |  \: \:  \:  \:   \dfrac{125}{9} \:  \:  \:   | 150 + 600 = 750

Direct Variation

\implies\sf \:  \dfrac{1}{ \dfrac{125}{9} }  =  \dfrac{x}{750}

\implies\sf \:  \dfrac{9}{125}  =  \dfrac{x}{750}

\implies \sf \:  x =  \dfrac{750 \times 9}{125}

\implies\sf \:  x = 9 \times 6

  • \underline{\boxed{\sf \:  x  = 54 \: sec}}

54 SECOND will it take to cross a 150 m long platform.



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