Question : A train having a length of 330 metres takes 11 seconds to cross a 550 metres long bridge. How much time will the train take to cross a 570 metres long bridge?
Option 1: $\frac{45}{4}$ seconds
Option 2: $\frac{47}{4}$ seconds
Option 3: $20$ seconds
Option 4: $16$ seconds
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Correct Answer: $\frac{45}{4}$ seconds
Solution : Given: A train having a length of 330 metres takes 11 seconds to cross a 550 metres long bridge. So, in 11 seconds the train covers (550 + 330) = 880 metres The speed of the train = $\frac{880}{11}$ = 80 m/s Now to cover a bridge of length 570 metres, the train has to cover (570 + 330) = 900 metres So, the required time = $\frac{900}{80}$ = $\frac{45}{4}$ seconds Hence, the correct answer is $\frac{45}{4}$ seconds.
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