a train passes two bridges of length 210m and 122m in 25sec and 17 sec respectively.let us calculated the length and speed of the train
Answers
Step-by-step explanation:
Well assume the train's length is x. We also know that the speed of the train is the same when it's crossing both the bridges. In order to completely cross a bridge, the train has to cover the length of the bridge as well it's own length. So in either cases the train covers a total distance of 210+x and 122+x . Since the speed is the same, we can say:
-> (210+x)/25=(122+x)/17 = speed of the train
-> (210+x)*17=(122+x)*25
-> 210*17+17x=122*25+25x
-> (210*17) - (122*25) = 8x
-> x= 65
So the length of the train is 65m
The speed of the train = (210+65)/25 or (122+65)/17 =11m/sec
Well assume the train's length is x. We also know that the speed of the train is the same when it's crossing both the bridges. In order to completely cross a bridge, the train has to cover the length of the bridge as well it's own length. So in either cases the train covers a total distance of 210+x and 122+x . Since the speed is the same, we can say:
-> (210+x)/25=(122+x)/17 = speed of the train
-> (210+x)*17=(122+x)*25
-> 210*17+17x=122*25+25x
-> (210*17) - (122*25) = 8x
-> x= 65
So the length of the train is 65m
The speed of the train = (210+65)/25 or (122+65)/17 =11m/sec
Step-by-step explanation:
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