Question

[anh thái]

hien tại  là 1 giờ 10 phút 50 giây. hỏi sau bao lâu kim giờ và kim phút trùng nhau?

Answer 1

[ngonhuminh]

chuyen goc toa do ve 12h (dung 12 h kim gio phut trung nhau)

toc do quay kim phut=360^o/h

toc do quay kim gio =30^o/h

khi kim trung nhau kim phut quay hon kim gio 1 mot goc =k.360

\(360.t-30t=k.360\)

\(t=\frac{k.360}{330}=\frac{12.k}{11}\)

thoi gian hai kim trung nhau tinh tu goc 12 h la

\(t=\frac{12.2}{11}=\frac{24}{11}=2\left(h\right)+\frac{2}{11}\left(h\right)=2h+10\left(p\right)+\frac{540}{11}\left(giay\right)\)

thoi gian tinh tu 1h10'50'' la

\(\left(2\left(h\right)10\left(p\right)\frac{9.60}{11}\left(s\right)\right)-\left(1\left(h\right)10\left(p\right)\frac{50}{1}\left(s\right)\right)=0\left(h\right)59\left(p\right)\left[60+\frac{540}{11}-50\right]\left(s\right)\)

\(=0\left(h\right)59\left(p\right)\frac{650}{11}\left(s\right)\)

ket luan sau \(59\left(p\right)\frac{650}{11}\left(s\right)\)hai kim trung nhau