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]