Question

A train 50m long passes over a bridge at a speed of 30 km/h. if it takes 36 sec to cross the bridge, the length of the bridge is-?
(Please explain with steps)
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Answer 1

Answer:

250 m

Explanation:

Lenght of the bridge = x

Length of train = 50m

Distance covered by train = (50+x) m

Speed = 30km/h = 30*5/18 => 25/3 m/s

Time taken = 36 s

Since,  speed = distance/time

Distance = speed * time

50+x = 36 *25/3 m = 300 m

x = 300 - 50 = 250 m

Length of the bridge will be = 250 m

Answer 2

See the Diagram above,

$\rule{200}2$

$\sf{\large{\underline{\underline{EXPLANATION}}}}$

†Given,

• Length of train,l=50m

• Speed of train,v=30km/h=25/3 m/s

• Total time taken to cross the bridge,t=36s

• Distance covered by the train's driver=??

Therefore, Using formula ,,

$\mathtt{\boxed{v=\frac{s}{t}}}$

$\sf{\implies{\frac{25}{3}=\frac{s}{36}}}$

$\sf{\implies{\frac{25\times{36}}{3}=s}}$

$\sf{\implies{\cancel\dfrac{900}{3}=s}}$

$\sf{\implies{s=300m}}$

Now,,

Length of bridge

=s+l

=300+50

=350m

$\rule{200}2$

❣️❣️★Hope it helps★❣️❣️