Question

You walk 2 miles in 1/
2 hour. At that rate, how long will it take you to walk 3 miles?

Answer 1

The answer is: "
`(3)/(4)` mi. " ; or, write as: " 0.75 mi. " .
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Write a proportion.
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`((2) mi)/((0.5) h ) = ((3) mi.)/((x)h)` ;

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 .
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The answer is: "
`(3)/(4)` mi. " ; or, write as: " 0.75 mi. " .
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Answer 2

Hello!

1/2 = 0.5 as a decimal

0.5 ÷ 2 = 0.25

That means you walk 1 mile in 0.25 of an hour. Multiply this by three:

0.25 × 3 = 0.75

Answer:

It will take you 0.75 (or 3/4) hour to walk 3 miles.