# A clock

A clock was set right at 6:00 AM. If it gains 3 1/2 minutes per hour, what time will it show at 6:00 PM on the same day? Show your solution

Result

t = 6:42 PM

#### Solution:

$h = \dfrac{ 3+1/2 }{ 60 } = \dfrac{ 7 }{ 120 } \doteq 0.0583 \ \\ t = 6 + 12 \cdot \ h = 6 + 12 \cdot \ 0.0583 = \dfrac{ 67 }{ 10 } = 6.7 = 6:42 \ \text{ PM }$

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