36.
एक रेलगाड़ी बुधवार को 5 बजे संध्या में एक शहर से रवाना हुई और दूसरे शहर
में शुक्रवार की संध्या 5 बजे पहुँची। यदि दोनों शहरों के बीच की दूरी 1920
कि०मी. है। तो गाड़ी की औसत चाल बताएँ।
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Answer:
Assuming their velocities to be uniform throughout
the journey, the Delhi train takes 6 hours and the
Jaipur to Delhi train takes 5 hours reaching.
The distance between two stations be x kms.
The one heading Jaipur nears Jaipur =
6
2x
kms, from
when one heading Delhi starts.
The two trains have to cover the relative distance
of {x.(x/3)}=(2x/3).
The relative velocity over the journey =
6
x
+
5
x
=
30
5x+6x
=11x/30
covering the relative distance of (2x/3) time taken
will be ⇒(
3
2x
)(
30
11x
)
=20/11 hours
= 1 hr 49 minutes.
∴ The two trains will meet at 1 hr 49 minutes p.m
So, the answer is "1 hour 49 minutes p.m
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