Answer :

Answer:

1.25km

Step-by-step explanation:

Ratios

Recall the formula of speed, [tex]s=\dfrac{d}{t}[/tex] where s is speed, d is the distance travelled and t is time. This formula can also be seen as a ratio between distance and time!

Applying Ratios

Given Information

  • Initial distance ([tex]\rm \dfrac{1}{2}km[/tex] or 0.5 km)
  • Initial time (1 hour)
  • "Final" distance ([tex]\rm 2\dfrac{1}{2}\:km[/tex] or 2.5 km)

What We Need to Find

  • "Final" time

We can assume that Anita stays at a constant speed since the problem doesn't explicitly mentions otherwise. So her initial speed, or the quotient of her initial distance and time, equals her final speed.

An equation can be set up,

[tex]\dfrac{0.5km}{1hr} =\dfrac{x}{2.5hr}[/tex], where x is our answer.

All there's left to do is the solve for x!

[tex]\dfrac{(0.5km)(2.5hr)}{1hr} =1.25km[/tex]

(the "hr" cancels out since it's seen on the numerator and denominator of the ratio/fraction)