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!

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> 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!      Log On

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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) About Me  (Show Source):
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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%2F60*5 + 15
Cancel 5 into 60
x = x%2F12 + 15
multiply eq by 12
12x = x + 12(15)
12x - x = 180
11x - 180
x = 16.4 minutes