Determine the time and place of meeting of two bodies, the equations of motion of which

Determine the time and place of meeting of two bodies, the equations of motion of which have the form: x1 = 25 + t and x2 = 85 – 0.5t

1. The coordinates of two bodies at the meeting point must have the same value:

x1 = x2;

25 + t = 85 – 0.5t;

t + 0.5t = 85 – 25;

1.5t = 60;

t = 60: 1.5;

t = 40.

2. The coordinate of the meeting can be calculated by any of the equations; calculating for both, for one and check the result:

x1 = 25 + t = 25 + 40 = 65;

x2 = 85 – 0.5t = 85 – 0.5 * 40 = 85 – 20 = 65.

Answer: the bodies will meet in 40 units of time, at a point with a coordinate of 65 units of length.