A train 150 m long travels at 15 m/s. How long does it take to pass a man running at 10 m/s in the same
direction?
Answe
Answers
Answer:
Let the speed of the train be x km/hr
Length of the train = 150m=
1000
150
=
20
3
km
and time taken to cross the man = 10 seconds =
60×60
10
Relative speed = (x−2) kmph
(Both are moving in same direction)
We know that,
Relativespeed
Lengthofthetrain
= Time taken to cross the man
Relative speed =
20×1
3×360
x−2=
20×1
3×360
x=54+2=56 kmph
Hence, speed of train is 56 kmph.
Step-by-step explanation:
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Given : A train 150 m long travels at 15 m/s.
To Find : How long does it take to pa ss a man running at 10 m/s in the same direction
Solution:
Let say Time taken = t secs
Train speed = 15 m/s
Distance covered by train = 15t m
Man speed = 15 m/s
Distance covered by Man = 10t m
Distance to be covered by train = Distance covered by train + length of Train
=> 15t = 10t + 150
=> 5t = 150
=> t = 30
Hence Time taken by train to pa ss the man is 30 secs
Another method:
Effective speed = 15 - 10 = 5 m/s
Distance to be covered = 150m
Time Taken = 150/5 = 30 secs
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