Two persons start at the same place and walk around a circular lake in opposite directions. One has an angular speed of (1.40 x 10^-3) rad/sec. The other has an angular speed of (3.70 x 10^-3) rad/sec. How long (how much time) will it be before they meet?

They meet when their combined angle walked around the lake is 2 pi radians. Call that time T

(1.4 + 3.7)*10^-3 rad/s * T = 2 pi

Solve for T, which will be in seconds. You might want to convert the answer to minutes.