A train running at the rate of 14Km/hr. overtakes a man cycling at the rate 4 Km/hr. in 18 secs. Then the train passes completely another man cycling iroca opposite direction in 10 secs.
1.Find the length of the train.
2.Find the speed at which the second man was cycling.
Answers
Answer:
the length of the train=50m
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=9x...........................................(2)
Substracting 1 and 2
90y−50−90y+100=10x−9x
x=50
So, the length of the train=50m