Math, asked by mamoonatifa, 10 months ago

A 100m long train takes 6s to cross a tree.
The time the train will take to cross a 400m
long bridge is
please answer me fast it's argent​

Answers

Answered by MisterIncredible
25

Given :-

A 100 meters long train takes 6 seconds to cross a tree .

Required to find :-

  • Time taken by the train to cross a 400 meters long bridge

Formulae used :-

\huge{\dagger{\boxed{\rm{ Speed = \dfrac{Distance}{Time }}}}}{\boxed{\blue{\bigstar}}}

\huge{\dagger{\boxed{\rm{ Time = \dfrac{Distance}{Speed }}}}}{\boxed{\blue{\bigstar}}}

Solution :-

Given that :-

A 100 meters long train takes 6 seconds to cross a tree

we need to find the time taken by the train to cross a 400 meters long bridge .

Let's consider given information as case - 1

So,

Length of the train = 100 meters

Distance = Length of the train

Distance = 100 meters

Time = 6 seconds

Using the formula ,

\huge{\dagger{\boxed{\rm{ Speed = \dfrac{Distance}{Time }}}}}{\boxed{\blue{\bigstar}}}

So,

\rightarrow{\tt{ Speed = \dfrac{ 100 \; m }{6 \; s }}}

\rightarrow{\tt{ Speed = \dfrac{ 50 \; m }{ 3 \; s}}}

Hence,

\implies{\huge{\rm{ Speed = \dfrac{50}{3} \; m/s}}}

Case - 2

Length of the bridge = 400 meters

Distance = Length of the bridge

Distance = 400 meters

Speed = \dfrac{50}{3} \; m/s

using the formula ,

\huge{\dagger{\boxed{\rm{ Time = \dfrac{Distance}{Speed }}}}}{\boxed{\blue{\bigstar}}}

\longrightarrow{\tt{ Time = \dfrac{ 400 \; m}{ \dfrac{50}{3} \; m/s }}}

\longrightarrow{\tt{ Time = \dfrac{ 400 \;  m \times 3 \; s }{50 \; m }}}

\longrightarrow{\tt{ Time = \dfrac{ 1200 \;  m/s }{50 \; m }}}

\longrightarrow{\tt{ Time = 24 \; seconds }}

\dagger{\boxed{\textsf{ Time \; taken to cross the bridge = 24 \; seconds }}}

Answered by MystícPhoeníx
187

Correct Question

A 100m long train takes 6s to cross a tree.

What will the time taken by the train to cross a 400m long bridge.

✰Answer:-

___________________

Given:-

⋄ 6 second is taken by 100m train to cross a tree.

⋄ Here, the length of train is 100m its means that distance traveled by train is 100m.

⋄ Here, another distance =400m

To Find:-

Time taken by train to cross 400 m long bridge??

Solution :-

We know that,

➧ Speed (S) = Distance(d) /Time (t)

➧ S = 100/6

➧ S = 50/3= 16.6m/s

Now,

⋄Speed of train =16.6 m/s

⋄ Distance covered by train =400m.

➧ Time = Distance/ speed

➧ Time = 400/16.6

➧ Time = 24 sec.

∴The time taken by train to cover 400m is 24 second.

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