A train has a length of 300 metres. It is passing a lady who is moving at 4 km/hr in the same direction of the train, in 6 seconds. What is the speed of the train?

182 km/hr

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190 km/hr

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198 km/hr

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184 km/hr

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None of these

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Solution

The correct option is D
184 km/hr

Length of the train, l = 300 m

Speed of the lady, $V_{l}$ = 4 kmph

Relative speed, $V_{r}$ = $\frac{T o t a l d i s t a n c e}{T o t a l T i m e}$ = $\frac{300}{6}$ m/s = 50 $\times$ $\frac{18}{5}$ = 180 kmph

Relative Speed = Speed of train $(V_{t})$ - Speed of lady (As both are moving in the same direction)

=> 180 = $V_{t}$ - 4 => $V_{t}$ = 180 + 4 = 184 kmph

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