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Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 7/8 of the route, and swims the rest of the way. She swims 0.9 miles. Find the total distance of the triathlon route.

Respuesta :

Answer:

12 miles

Step-by-step explanation:

Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 1/8 of the route, and swims the rest of the way. She swims 0.9 miles. Find the total distance of the triathlon route.

Total distance Alyssa cycled and ran =

[tex]\frac{4}{5} + \frac{1}{8}[/tex]

[tex]\frac{32 + 5}{40}[/tex] = [tex]\frac{37}{40}[/tex]

Distance she swam =  1 - 37/40 = 3/40

3/40 of the distance is 0.9

the total distance = 40/3 x 0.9 = 12 miles

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