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Rico can walk 3 miles in the same amount of time that Donna can walk 2 miles. Rico walks at a rate 2 miles per hour faster than Donna. At that rate, what is the number of miles that Rico walks in 2 hours and 10 minutes?

Respuesta :

Answer:

[tex]13[/tex]

Step-by-step explanation:

Donna's Rate is [tex]R[/tex]

Rico's Rate is [tex]R+2[/tex]

[tex]\frac{R}{R+2}=\frac{2}{3}[/tex]

Cross-Multiply

[tex]2(R+2)=32[/tex]

[tex]2R+4=3R[/tex]

[tex]4=R[/tex]

Donna's Rate is [tex]R=4[/tex]

Rico's Rate is [tex]R+2=6[/tex]

[tex]\frac{6(130)}{60} = \frac{130}{10}=13[/tex]

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