Question 836241
At 3:00 p.m. how many minute spaces must the minute hand gain on the hour hand to catch up with it? How long will it take the minute hand to catch up with the hour hand?
:
Let x = no. of minutes to catch up with hr hand from 3 o'clock
x = {{{x/60}}}*5 + 15
Cancel 5 into 60
x = {{{x/12}}} + 15
multiply eq by 12
12x = x + 12(15) 
12x - x = 180
11x - 180
x = 16.4 minutes