Question

a 800m long train is running at the speed of 90kmphr. if it crosses a bridge in 50 seconds, then what is the length of the bridge​

Answer 1

Answer:

Let length of tunnel is x meter

Distance = 800+x meter

Time = 1 minute = 60 seconds

Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s

Distance = Speed*Time

\begin{aligned}

=> 800+x = \frac{65}{3}*60 \\

=> 800+x = 20*65 = 1300 \\

=> x = 1300 - 800 = 500 \\

\end{aligned}

So the length of the tunnel is 500 meters.

[If you want to calculate it practically, then please have your copy and pen and take a ride of Kalka to Shimla toy train in north India. It has many tunnels on the way :) ]

Answer 2

Answer:

Let length of bridge is x meter

Distance = 800+x meter

Time = 50 seconds

Speed = 90 km/hr

= 90*5/18 m/s = 25 m/s

Distance = Speed*Time

=> 800+x =( 25)*50

=> 800+x =1250

=> x = 1250 - 800 = 450

So the length of the tunnel is 45bridge554

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