At what time between 8 and 9 o’clock will the hands of a watch be together?
To be together between 8 and 9o’clock, the minute hand has to gain 40 minutes spaces. 55 minutes spaces gained in 60 minutes. 40 minutes spaces are gained in (60/55×40) minutes or 43×7/11 minutes. Alternate method: θ = 11/2 M-30H or 0 = 11/2 M-30×8 or 240 = 11/2 M or M = 480/11= 43×7/11
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