Answer: The answer is (b) The ranger will need to clear trail for more than 10 2/3 additional hours.
Step-by-step explanation: Given that a park ranger would like to clear more than 10 mi of trail. Till now, he has cleared 2 mi. From now on, he can clear 3/4 mi of trail each hour.
Since 2 mi of the trail has already been cleared, so the trail that is left to be cleared = 10 - 2 = 8 mi.
Let, the park ranger will work for 'x' more hours. So, we have
[tex]\dfrac{3}{4}\times x=8\\\\\Rightarrow 3x=32\\\\\Rightarrow x=\dfrac{32}{3}\\\\\Rightarrow x=10\dfrac{2}{3}.[/tex]
Thus, the park ranger will need to work for 10 2/3 more hours.
Hence, the correct option is (b) The ranger will need to clear trail for more than 10 2/3 additional hours.
