A mathematically inclined friend emailsyou the following instructions: \"Meet me

Question

A mathematically inclined friend emailsyou the following instructions: "Meet me in the cafeteria the firsttime after 2:00 p.m. today that the hands of a clock point in thesame direction." When should you meet your friend? 2:--:-- (hour:minute:second) A mathematically inclined friend emailsyou the following instructions: "Meet me in the cafeteria the firsttime after 2:00 p.m. today that the hands of a clock point in thesame direction." When should you meet your friend? 2:--:-- (hour:minute:second) 2:--:-- (hour:minute:second)

Explanation / Answer

02:10.90 seconds hour hand travels 360/12= 30 degrees in 1 hr = 0.5 degrees in oneminute minute hand travels 360 degrees in an hr = 6 degrees in aminute 60+ x*0.5 = x*6 x = 60/5.5 =10.90 therefore 2:10.90

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