An object is traveling at a steady speed of 10 1/5 mi​/h. How long will it take the object to travel 1 4/5​? First round to the nearest integer to find the estimated answer. Then find the exact answer

Respuesta :

Answer: [tex]2\dfrac13\ h[/tex]

Step-by-step explanation:

Given: Speed = [tex]10\dfrac15[/tex] mi/h  [tex]=\dfrac{21}{5}[/tex]mi/h  

Distance need to be travel = [tex]1\dfrac45[/tex] miles [tex]=\dfrac{9}{5}[/tex] miles

[tex]speed=\dfrac{distance}{time}\\\\\Rightarrow\ time=\dfrac{distance}{speed}[/tex]

[tex]\Rightarrow\ time =\dfrac{\dfrac{21}{5}}{\dfrac{9}{5}}\\\\\Rightarrow\ time =\dfrac{21}{9}\\\\\Rightarrow\ time =\dfrac{7}{3}\\\\\Rightarrow\ time =2\dfrac13\ h[/tex]

Hence, time taken to travel = [tex]2\dfrac13\ h[/tex]

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