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two speedboats leave the dock at the same time and travel in opposite directions. one travels 9 mi/hr faster than the other. After 2 hr the boats are 170 mi apart. How fast is each boat travelling ?

Sagot :

Xavia34

Answer: [tex]\frac{170}{X}[/tex]+[tex]\frac{170}{X-9}[/tex]=2

(=)17 0x +170x+1530=2x²+18x

(=)-2 x² +322x+1530=0

Δ=b²-4ac

Δ=115924

[tex]\sqrt{}[/tex]Δ=340,476>0

because Δ>0 so that 2 X

=>x₁=2 (true), x₂=-161(false)

X+9= 2+9=11

first travel 2 mi/hr

second travel 11 mi/hr

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