# 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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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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Step 1 help_outlineImage TranscriptioncloseLet 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 || fullscreen
Step 2 help_outlineImage Transcriptionclose= a Let and rewrite the equations as follows 5 a+6b: 4 (1) (2) 2a+8b = 2 fullscreen
Step 3 help_outlineImage TranscriptioncloseUse 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 fullscreen

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### Equations and In-equations 