Mike is planning on hiking northbound from georgia to maine . The hike is 2,100 miles long . It is recommended that mike drinks 1.5 litters of water every hour during the hike . Mike is able to hike at a constant pace of 2mph during the first 3 days of the hike and covers 44 miles. Mike initially carries 2 litters of water at the start of the hike and must filter the rest of his water from the streams. Enter the amount of water, in litters, he will need to filter during these 3 days to fulfill his water requirements.

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okpalawalter8 okpalawalter8 · Answer 1 · 2021-05-17T03:56:13+02:00

Answer:

[tex]V_{wf}=31liters[/tex]

Step-by-step explanation:

From the question we are told that:

Total hike [tex]n=2100[/tex]

Drink per hour [tex]V_h=1.5 litter[/tex]

Velocity for 3 days [tex]S=2mph[/tex]

Distance after 3 days [tex]d_3=44miles[/tex]

Initial water volume [tex]V_1=2litters[/tex]

Generally the equation for hours traveled in 3 days is mathematically given by

[tex]T_3=\frac{Distance after 3 days}{Velocity for 3 days }[/tex]

[tex]T_3=\frac{d_3}{S}[/tex]

[tex]T_3=\frac{44}{2}[/tex]

[tex]T_3=22h[/tex]

Generally the equation for Total water drank for first 3 days is mathematically given by

[tex]V_w=V_h*T_3[/tex]

[tex]V_w=22*1.5[/tex]

[tex]V_w=33liters[/tex]

Therefore water need to be filtered at stream i.e water apart from 2 liters carried

[tex]V_{wf}=33-2[/tex]

[tex]V_{wf}=31liters[/tex]