Question

A park ranger would like to clear more than 10 mi of trail. So far, he has cleared 2 mi. From now on, he can clear 3/4 mi of trail each hour. Drag and drop the answer into the box. What statement describes the solution to this inequality? The ranger will need to clear trail for more than 8 additional hours. The ranger will need to clear trail for more than 10 2/3 additional hours. The ranger will need to clear trail for more than 13 1/3 additional hours. The ranger will need to clear trail for more than 16 additional hours.

Answer 1

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

$\dfrac{3}{4}\times x=8\\\\\Rightarrow 3x=32\\\\\Rightarrow x=\dfrac{32}{3}\\\\\Rightarrow x=10\dfrac{2}{3}.$

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.

Answer 2

Answer:

B

Step-by-step explanation:

your awesome I'm awesome i think we have a connection so if you don't mind crown please