avissidep

2021-08-18

The speed of each of the runners by modeling the system of linear equations.

Asma Vang

Skilled2021-08-19Added 93 answers

Procedure used:

"odel and solve system of linear equations

1) Identify the category of given problem.

2) Recognize and algebraically name the unknowns.

3) Translate the problem statement as a system of linear equations using the variables from Step 2.

S 4) Solve the system as obtained in Step 3.

5) State the answer statemen."

Calculation:

Step 1:

The given problem is a uniform motion problem where speed of the runner is to be calculated using the following formula:

time

Step 2:

There are two unknowns in the problem. Consider x be the speed of first runner and hence, from the given information,

Step 3:

The faster runner runs with the speed of

For first runner, use distance

For second runner, use distance

Thus, the system of linear equations is:

Step 4:

Substitute equation (1) in equation (2).

Thus, solve the equations to find the variable x:

Solve the above equation to obtain the value of variable x as:

S

Thus, the value of x is 6miles/hour.

Therefore, the speed of second runner is

S Therefore, the speed of first runner is,

Step 5:

Thus, the speed of first runner is 8 miles/hour and the speed of second runner is 6 miles/hour.

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