A 200m long train crosses a 400m long bridge with a speed of 36km/hr . Calculate the time taken by train to cross the bridge? plz give me the answer with explaination

The speed of the train is v = 36 km/h =36000/3600=10 m/s,

L is the length of the train,
S is the length of the bridge.
The time of passing the bridge begins when head end of the train enters the bridge and ends when its rear end leaves the bridge, therefore, the distance is s=L+S=200+400=600 m
t=s/v =600/10=60s

speed of the train(v)=36km/h

=36*5/18
=10m/s
let L be the length of the train
and S be the length of bridge
Therefore, distance(s)=L+S
=200+400
=600m
time(t)=s/v
=600/10
=60s ans.

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To calculate the time taken by the train to cross the bridge, we need to first convert the speed from km/h to m/s.

Given:
Length of the train (L) = 200 m
Length of the bridge (B) = 400 m
Speed of the train (S) = 36 km/hr

To convert km/hr to m/s, we divide the speed by 3.6.

Speed of the train (S) = 36 km/hr
= (36 * 1000 m) / (60 * 60 s)
= 10 m/s

The total distance the train needs to cover to cross the bridge is the sum of the length of the train and the length of the bridge.

Total distance (D) = Length of the train + Length of the bridge
= 200 m + 400 m
= 600 m

We know that Speed (S) = Distance (D) / Time (T)

Rearranging the formula to solve for Time (T), we get:

Time taken (T) = Distance (D) / Speed (S)
= 600 m / 10 m/s
= 60 seconds

Therefore, the train takes 60 seconds to cross the bridge.

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