chuyen goc toa do ve 12h (dung 12 h kim gio phut trung nhau)
toc do quay kim phut=360o/h
toc do quay kim gio =30o/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