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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Question : A train crosses a stationary pole in 20 seconds and a bridge in 32 seconds. If the length of the bridge is 1200 metres, then what is the speed of the train?
Option 1: 360 km/hr
Option 2: 180 km/hr
Option 3: 270 km/hr
Option 4: 450 km/hr
Question : An 800-metre-long train can pass a stationary pole completely in 72 seconds. A 1200 -metre-long train can also pass a stationary pole completely in 72 seconds. If both the trains are running in the same direction, then the faster train, coming from behind the slower train, can cross the slower train in how much time?
Option 1: 240 seconds
Option 2: 360 seconds
Option 3: 280 seconds
Option 4: 480 seconds
Question : A train can cross a 1200-metre-long bridge completely in 16 seconds. It can cross a 1600-metre-long bridge completely in 20 seconds. What is the speed of the train?
Option 2: 450 km/hr
Option 3: 540 km/hr
Option 4: 270 km/hr
Question : A train moves at a speed of 30 m/s and crosses a bridge of length 650 metres in 50 seconds. What is the length of the train?
Option 1: 1000 m
Option 2: 900 m
Option 3: 850 m
Option 4: 750 m
Question : A train can completely cross a 1000-metre-long bridge in 15 seconds. It can completely cross another 1300-metre-long bridge in 19 seconds. What is the length of the train?
Option 1: 125 metres
Option 2: 200 metres
Option 3: 150 metres
Option 4: 175 metres
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