Thursday, November 14, 2013

Steven left Town A & walked towards Town B at a speed of 100m/min. At the same time, Jason & Melvin started from Town B & walked ....towards Town A...

Steven walks from town A towards town B at 100m/min. Jason
walks from town B towards town A at 80m/min and Melvin walks from town B towards town A
at 75 m/min.


Let the distance between A and B be L. Let
Steven meet Jason after time T.


In time T Steven has
travelled a distance 100*T and Jason has walked a distance 80*T. As the two are coming
from opposite directions, they have covered the distance between the two
towns


=> 100T + 80T = L
...(1)


After 6 minutes Steven meets Melvin. Here Steven has
walked (T + 6)*100 and Melvin was walked (T + 6)*75.


Again
(T + 6)*100 + (T + 6)*75 = L


=> 100T + 600 + 75T +
450 = L


=> 175T + 1050 = L
...(2)


(1) and (2) give


180T =
175T + 1050


=> 5T =
1050


=> T =
1050/5


=> T =
210


Substitute in (2)


175T +
1050 = L


=> 175* 210 + 1050 =
L


=> 37800
m


The distance between the two towns is 37.8
km.

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