Question

A plane is flying at a speed of 150 miles per hour. The pilot on flying at this speed for the next 160 miles, plus or minus 25. What an absolute value equation to find the minimum and maximum number of hours the plane will travel at that speed. I have to have the equation minimum number of hours and maximum number of hours

Answer 1

The absolute value equation to solve for the maximum and minimum number of hours is  $t = \frac{d}{v} + |\frac{25}{v} |$

The given parameters;

• speed of the plane, v = 150 miles per hour

• distance covered by the pilot, d = 160 ± 25 miles

The number of hours the plane needs to travel at the given values is calculated as;

$time = \frac{distance }{speed}$

The equation for the maximum number of hours is given as;

$t =\frac{d + 25}{v} = \frac{160 + 25}{150} = 1.23 \ hours$

The equation for the minimum number of hours is given as;

$t = \frac{d- 25}{v} = \frac{160 - 25}{150} = 0.9 \ hr$

The absolute value equation to solve for the maximum and minimum number of hours is given as;

$t = \frac{d}{v} + |\frac{25}{v} |$

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