SOLUTION: 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? thanks!

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?
thanks!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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 = *5 + 15
Cancel 5 into 60
x = + 15
multiply eq by 12
12x = x + 12(15)
12x - x = 180
11x - 180
x = 16.4 minutes
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