A train takes 25 seconds and 17 seconds respectively to cross two brid

1.	A train takes 25 seconds and 17 seconds respectively to cross two bridges 210m and 122m long. Find the length and speed of the train
Answer» Answer: Given-: A train takes 25 seconds and 17 seconds respectively to cross two bridges 210m and 122m long. Find the length and SPEED of the train To find -: What is the length and speed of train? Answer-: 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 -> 21017+17x=12225+25x -> (21017) - (12225) = 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. Thus,the length of train is 65 metre and the speed of train is 11 metre per second.

A train takes 25 seconds and 17 seconds respectively to cross two bridges 210m and 122m long. Find the length and speed of the train

Answer»

Answer:

A train takes 25 seconds and 17 seconds respectively to cross two bridges 210m and 122m long. Find the length and SPEED of the train

What is the length and speed of train?

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.