Vi walks five days each week.She walks the same distance on the first two days.On days three and four,Vi walks twice as long as on the first two days.On day five she walks half as far as on day 1.If Vi walks 13 miles each week how does she walk each day

Respuesta :

Vi walks 2 miles on first day, 2 miles on second day, 8 miles on third and fourth day and 1 mile on fifth day.

Step-by-step explanation:

Let,

x be the distance walked by Vi.

Therefore,

On first day = x

Second day = x

On days three and four,Vi walks twice as long as on the first two days

Third and fourth day = 2(x+x) = 2(2x) = 4x

On fifth day = half of first day = [tex]\frac{1}{2}x[/tex] = 0.5x

Total distance = 13 miles

Therefore,

[tex]x+x+4x+0.5x =13\\6.5x=13[/tex]

Dividing both sides by 6.5

[tex]\frac{6.5x}{6.5}=\frac{13}{6.5}\\x=2[/tex]

Distance on first day = x = 2 miles

second day = x = 2 miles

third and fourth day = 4x = 4(2) = 8 miles

fifth day = 0.5x = 0.5(2) = 1 miles

Vi walks 2 miles on first day, 2 miles on second day, 8 miles on third and fourth day and 1 mile on fifth day.

Keywords: distance, addition

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