Question

In a 12 hour clock between 7 o'clock and 8 o'clock when will the two hands of the clock overlap each other

Answer 1

Answer:

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Step-by-step explanation:

Find at what time between 7 o'clock and 8 o'clock will the hands of a clock be in the same straight line but not overlap each other. Between 7 and 8, the hands will be in opposite directions at (5 7 – 30)(12/11) = 60/11 min.

OR

At what time between 7 and 8 will the hands of the clock be together?

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In a clock 360° angle is divided into 12 sections , each section for one hour ie 360°÷12=30° for one hour and 60 division is made for one minuit each

so 1 minuit =360°÷60=6°

Big hand of the clock covers 360° in 12 hrs ie 12×60 minuit ,

in 1 minuit it covers 360/12×60=1/2 °

at 7 o clock small hand of the clock covered 7×30°=210° and big hand is at 0°.

let at time x displacement of small hand of the clock is S° . As at that time two hands coinsides , displacement of big hand of the clock 210°+S°

(210+S)/6=S/(1/2)=2S

210+S=12 S , or , S=(210/11)°

time taken by small hand to go (210/11)°

is (210/11)/(1/2) minuit

=(210×2)/11=38.18 minuit

So at 38.18 minuit past 7 the two hands will be together .

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