Question : A train crosses a stationary pole completely in 18 seconds and a bridge completely in 44 seconds. If the length of the bridge is 650 meters, then what is the length of the train?
Option 1: 540 m
Option 2: 360 m
Option 3: 450 m
Option 4: 270 m
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Correct Answer: 450 m
Solution : Let the length of the train be $l$ and the speed of the train be $s$. Time = 18 sec So, $s = \frac{l}{18}$ --------(i) Length of the bridge = 650 m Total distance = $650+l$ Time = 44 sec $s = \frac{650+l}{44}$ --------(ii) from (i) and (ii) $\frac{l}{18} = \frac{650+l}{44}$ ⇒ $44l = 18(650+l)$ ⇒ $44l = 18l + 11700$ ⇒ $26l = 11700$ ⇒ $l = \frac{11700}{26}$ = 450 m Hence, the correct answer is 450 m.
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