Whats the angle diff betwn hr's mint's hands when clock is showing 16:40?

Answer 1

It's a little less than 120 degrees.

16:40 is 4:40 p.m.
Difference between hr. hand & min. hand if Hour hand had just stayed on the "4" would be 20 minutes (on the clock)

20 minutes being 1/3 of 60 mins. , this angle would be 1/3 of 360 degrees, or 120 degrees.

Since all through the hour between 4 p.m. and 5 p.m. the hour hand would be moving smoothly and would have traveled 2/3 of the way beween them,we have to make a slight correction----

Angle between 4:00 and 5:00 is 1/12 of the entire circumference or 360 degrees = 30 degrees. Hour hand's travel = 2/3 of 30 degrees or 20 degrees.

Subtracting this 20 degrees from the 120 degrees (first approximation) leaves 100 degrees. That's the answer.

Answer 2

100 DEG