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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