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amit vasishth

· started a discussion

· 1 Months ago

expaination (Question: 185316.0 )

explaination not understandable please provide solution with shortcut appraoch

Question:
A train overtakes two persons, who are walking in the same directions in which the train is running at the speed of 2 km/hr and 4 km/hr and passes them completely in 9 sec and 10 sec respectively. The length of the train is –
Options:
A) 72 m
B) 60 m
C) 54 m
D) 50 m
Solution:

Knowledge Expert

· commented

· 1 Months ago

Let train speed be s
1st person's speed,s1 = 2km/hr =2*(5/18)=5/9 m/sec
2nd person's speed,s2 = 4km/h = 4*(5/18)=10/9 m/sec

Length of train,d = (s-s1)*t1 or (s-s2)*t2
so, (s-5/9)* 9 = (s-10/9)* 10 [t1=9sec, t2=10sec]
s=55/9 sec

Now,take 1st eq.
s-s1= d/t1 [bcz, Speed=Dis/Time]
(55/11)-(5/9)=d/9
Therefore we get d(length of train)=50m
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