# Sputnik

The first Earth satellite was flying at speed 8000 m/s. At that rate he circled the earth in 82 minutes. Jet flies at an average speed 800 km/h. How long would it take circle the earth round?

Result

t =  49.2 h

#### Solution:

$v_{ 1 } = 8000/1000 \cdot \ 3600 = 28800 \ km/h \ \\ v_{ 2 } = 800 \ km/h \ \\ t_{ 1 } = 82 / 60 = \dfrac{ 41 }{ 30 } \doteq 1.3667 \ h \ \\ t = v_{ 1 }/v_{ 2 } \cdot \ t_{ 1 } = 28800/800 \cdot \ 1.3667 = \dfrac{ 246 }{ 5 } = 49.2= \dfrac{ 246 }{ 5 } = 49.2 \ \text{ h } \ \\ \ \\ s_{ 1 } = s_{ 2 } \ \\ s_{ 1 } = v_{ 1 } \cdot \ t_{ 1 } = 28800 \cdot \ 1.3667 = 39360 \ km \ \\ t_{ 2 } = s_{ 1 }/v_{ 2 } = 39360/800 = \dfrac{ 246 }{ 5 } = 49.2 \ h$

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