Question

Emile is a long-distance runner. He runs at a constant speed of six miles/hour. His goal is to run nine miles on each practice run, but he normally runs a distance that varies three miles more or less than that. Select the correct answer from each drop-down menu. The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_____. For each practice run, the minimum number of hours Emile runs is______ and the maximum number of hours he runs is ______.

Answer 1

Answer:

$t=\dfrac{9\pm 3}{6}$

$1\ \text{hour}$

$2\ \text{hour}$

Step-by-step explanation:

s = Speed of Emile = 6 miles/hour

d = Distance traveled by Emile = $(9\pm 3)\ \text{miles}$

Time taken to find the minimum and maximum time Emile ran for is

$t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{9\pm 3}{6}$

The required equation is $t=\dfrac{9\pm 3}{6}$

The time taken is

$t=\dfrac{9-3}{6}\\\Rightarrow t=\dfrac{6}{6}\\\Rightarrow t=1\ \text{hour}$

The minimum number of hours Emile runs is 1 hour.

$t=\dfrac{9+3}{6}\\\Rightarrow t=\dfrac{12}{6}\\\Rightarrow t=2\ \text{hour}$

The maximum number of hours Emile runs is $2\ \text{hour}$.

Answer 2

Answer:

|6x – 9| = 3

1 Hour

2 Hours

Step-by-step explanation:

The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_|6x – 9|= 3_. For each practice run, the minimum number of hours Emile runs is__1 hour_ and the maximum number of hours he runs is _2 hour.