A train of 150m length is going towards north direction at a speed...

A train of

150m

length is going towards north direction at a speed of

10ms^{- 1}

. A parrot flies at a speed of

5ms^{- 1}

towards south direction parallel to the railway track. The time taken by the parrot to cross the train is equal to A train of 150m length is going towards north direction at a speed of 10ms^ - 1 . A parrot flies at a speed of 5ms^ - 1

A train of 150m length is going towards north direction at a speed of 10ms^ - 1 . A parrot flies at a speed of 5ms^ - 1

Options

A $12s$
B $8s$
C $15s$
D $10s$

Correct answer

D. $10s$

Step-by-step solution

The relative velocity of the bird with respect to the train is :

⇒ \overset{→}{V}BT = \overset{→}{V}B - \overset{→}{V}T

\left|{V}_{BT}\right| = 5 - \left(- 10\right) = 15ms^{- 1}

<br />[because they are going in the opposite direction]<br /><br /><b><u><img alt="" src="/api/proxy-image?url=https%3A%2F%2Ffirebasestorage.googleapis.com%2Fv0%2Fb%2Fquantrexacademy-app.firebasestorage.app%2Fo%2Fquestions%252Ffigs%252Fnta_abhyas%252Fjee_main%252Fimages%252FEM0026837_Ans.jpg%3Falt%3Dmedia&clean=1&v=wm2" data-qx-orig-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fnta_abhyas%2Fjee_main%2Fimages%2FEM0026837_Ans.jpg?alt=media" data-qx-storage-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fnta_abhyas%2Fjee_main%2Fimages%2FEM0026837_Ans.jpg?alt=media" style="width: 330px; height: 100px;" /></u></b><br /><br />

∴

~time taken by the bird to cross the train

= \dfrac{1 5 0}{15} = 1 0 \text{s}

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