Question
Asked Dec 22, 2019
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Shelia swam 1 mi and ran 6 mi in a total of 1 hr 15 min . In another training session she swam 2 mi and ran 8 mi in a total of 2 hr. Determine the speed at which she swims and the speed at which she runs. Assume that her swimming speed was the same each day and that her running speed was the same each day.

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Expert Answer

Step 1
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Let the swimming speed be x mi/hr running speed be y mi/hr Speed is given by distance over time. Then, according to the given data, 6 75 1. 60 2. 8 120 60 ||

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Step 2
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= a Let and rewrite the equations as follows 5 a+6b: 4 (1) (2) 2a+8b = 2

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Step 3
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Use elimination method and solve for x and y. Multiply the equation (1) by 2 and then subtract the equation (2) from it 5 2a+12b = -2a -8b = -2 4b =; Thus, the value of b

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Tagged in
MathAlgebra

Equations and In-equations