A jogger runs on a path at a speed of 0.075 miles per minute. A second jogger starts 5 minutes later from the same spot, but runs at a rate of 0.1 miles per minute. Create a pair of parametric equations to represent the paths of the joggers. How far down the path from the starting point does the second runner overtake the first runner?

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Answer:

1.5 miles

Step-by-step explanation:

graph on desmos graphing calculator

(0.075t, 0.1t-5)  

The second runner will overtake after 1.5 miles.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

Let t represent the time taken at which both the joggers meet

Then the distance covered is given by

For jogger A = 0.075 t

For jogger B = 0.1 (t-5)

0.075 t = 0.1t - 0.5

0.025t = 0.5

t = 20 seconds

The distance at which they meet is

=0.075 * 20

= 1.5 miles

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