Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 24 miles south. She then runs 10 miles west. Her trainer bikes from the health club to meet jane at the end of her run. How much farther does jane travel than her trainer?

26 miles farther from her trainer

Step-by-step explanation:

She starts her journey at health club,

Ran 24 miles south and then 10 miles west.

The distance between her end point and her trainer who was at health club can be calculated using pythagorean theorem.

X² = y² + z²

X = her end point

Z = distance between health club 24 miles south. = 24miles

Y = 10 miles distance from the 24 miles south. = 10 miles.

(See attachment for better illustration.)

X² = 24² + 10²

X² = 576 + 100

X² = 676

X = √(676)

X = 26 miles

Jane was 26 miles farther from her trainer

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step-by-step explanation: