The answer is: " [tex] \frac{3}{4} [/tex] mi. " ; or, write as: " 0.75 mi. " .
__________________________________________
Write a proportion.
__________________________________________
[tex] \frac{(2) mi}{(0.5) h } = \frac{(3) mi.}{(x)h} [/tex] ;
Solve for "x" , [ (in units of "h"; (hours) ] ;
Note: "Cross-multiply" ;
Note: Given (a/b) = (c/d) ; → ad = ab ; (b ≠ 0 ; d≠ 0) ;
→ 2x = (0.5 * 3) ;
→ 2x = 1.5 ;
Divide each side of the equation by "2" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 2x / 2 = 1.5 / 2 ;
to get:
→ x = 1.5 / 2 = 15/20 = (15÷5) / (20÷5) = 3/4 ;
or: → x = 1.5 / 2 = 15/20 = (15*5) / (20*5) = 75/100 = 75 ÷ 100 = 0.75 .
________________________________________________________
The answer is: " [tex] \frac{3}{4} [/tex] mi. " ; or, write as: " 0.75 mi. " .
________________________________________________________
