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Sveta_85
4 days ago
8

Lizette is training for a marathon. at 7:00 she left her house and ran until 8:15, then she walked until 11:15. she covered a to

tal distance of 19 miles. her running speed was 5 miles per hour faster than her walking speed. find her running and walking speeds.
Mathematics
1 answer:
Svet_ta [12.3K]4 days ago
4 0
Lizette ran for 1.25 hours and walked for 3 hours. Her overall distance can be calculated using the formula: distance = speed × time. The total distance covered combines her runs at different speeds, where w stands for her walking speed in mi/h. The problem states that...
19 = (w+5)(1.25) + (w)(3)
19 = 4.25w + 6.25.... combining terms
12.75 = 4.25w....... subtracting 6.25
3 = w............... dividing by 4.25

Thus, Lizette's walking speed is 3 mph and her running speed is 8 mph.
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