Can anyone help me figure out this physics problem?

A wall clock on Planet X has two hands that are aligned at midnight and turn in the same direction at uniform rates, one at 0.0448 rad/s and the other at 0.0151 rad/s. At how many seconds after midnight are these hands first aligned and next aligned?





Thanks in advance. No one in my physics class seems to be able to figure it out (and there are 80 of us!)Can anyone help me figure out this physics problem?
Just work woth the difference. If a moves at .0448 and b moves at .0151, the difference is .0297 rad/s





We want to know when the difference between the two is 360 degrees and again when it is 720 degrees.





Time 1 = 2*pi (radians) / .0297 (rad/s) = 211.555 sec


Time 2 = 4*pi (radians) / .0297 (rad/s) = 423.110 sec