Problema Solution
Two vehicles move at a constant velocity in a straight line, if they move in opposite directions the vehicles will be 600 meter apart after 30 seconds, if they move in the same direction they will be 25 meters apart after 25 seconds. calculate their velocity in m/s.
Answer provided by our tutors
Let
'v' represent the velocity that each of the vehicles is moving with
'd' represent the starting distance between the vehicles
t1 = 30 sec represent the time of the movement in opposite direction
t2 = 25 sec represent the time of the movement in same direction
v*t1 + v*t1 + d = 600
d - (v*t2 + v*t2) = 25
or if we plug the values we get the following system of equations:
30v + 30v + d = 600
d - (25v + 25v) = 25
or
60v + d = 600
d - 50v = 25
........
click here to see the system of equations solved for v and d
........
d = 286.36 m
v = 5.23 m/s
The velocity is 5.23 m/s approximately.