Two persons were approaching each other at 12 km/hr and 24km/hr respectively. A train moving in the same direction as the faster man took 25 seconds to cross him and 15 seconds to cross the other one. Find the speed of the train(in km/hr).
Answers
Given: Two persons were approaching each other at 12 km/hr and 24km/hr respectively.
A train moving in the same direction as the faster man took 25 seconds to cross him and 15 seconds to cross the other one.
To Find : the speed of the train(in km/hr).
Solution:
Train Speed = T km/hr
A train moving in the same direction as the faster man took 25 seconds to cross him
Relative speed = (T - 24 ) km/hr
Time taken = 25 sec = 25/3600 hrs
Length of train = (T - 24) 25/3600 km
Train moving in the opposite direction as the slower man took 15 seconds to cross
Relative speed = (T + 12 ) km/hr
Time taken = 15 sec = 15/3600 hrs
Length of train = (T + 12) 15/3600 km
Equate Length of train
(T - 24) 25/3600 = (T + 12) 15/3600
=> 25T - 600 = 15T + 180
=> 10T = 780
=> T = 78
Speed of Train = 78 km/hr
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Step-by-step explanation:
Train Speed = T km/hr
A train moving in the same direction as the faster man took 25 seconds to cross him.
Relative speed = (T-24 ) km/hr
Time taken = 25 sec = 25/3600 hrs.
Length of train = (T-24) 25/3600 km
Train moving in the opposite direction as the slower man took 15 seconds to cross
Relative speed=(T+12)km/hr
Time taken = 15 sec = 15/3600 hrs
Length of train = (T + 12) 15/3600 km
Equate Length of train
(T-24) 25/3600 = (T+12) 15/3600
=> 25T 600 = 15T + 180
=> 10T= 780
=> T = 78
Speed of Train = 78 km/hr.