two men are running along a railway track at the speed of 8kmph and 4kmph more in the same direction in which a train overtakes first man in 6¼ second and it take 2½ second more to overtake the second man than the first man. find the speed of the train kmph
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Step-by-step explanation:
Let the length of the train be x metres and speed be y m/s
Speed of the first person=2kmph
=2×
18
5
=
9
5
m/s
Speed of the second train =4kmph
=4×
18
5
=
9
10
m/s
y−
9
5
x
=9
9y−5=x
90y−50=10x(1)
y−
9
10
x
=10
90y−100=10 (2)
Substracting 1 and 2
90y−50−90y+100=10x−9x
x=50
So, the length of the train=50m
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