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What is the correct answer?
4
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. Find the length of train ?
A.
45 meter
B.
50 meter
C.
55 meter
D.
60 meter
Correct Answer :
B. 50 meter
First person speed = 2*(5/18) = 5/9 m/sec
Second person speed = 4*(5/18) = 10/9 m/sec
Let the length of train is x metre and speed is y m/sec
then,
x
y
-
5
9
=
9
⇒
9
y
-
5
=
x
⇒
9
y
-
x
=
5
.
.
.
(
i
)
A
l
s
o
,
x
y
-
10
9
=
10
90
y
-
9
x
=
100
.
.
.
(
i
i
)
f
o
r
m
(
i
)
a
n
d
(
i
i
)
,
w
e
g
e
t
,
x
=
50
So length of train is 50 metre
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