Nina is training for a marathon. She can run 4 1/2 kilometers in 1/3 of an hour. At this pace, how many kilometers can Nina run in 1 hour

Answer:
13½ kilometers
Step-by-step explanation:
If Nina runs 4½ km in ⅓ of an hour, at this pace, the number of km she'd run in an hour can be calculated as follows.
Let x be the number of km to run in an hour.
4½km => ⅓ hr
x km => 1 hr
Cross multiply
[tex] 1*4\frac{1}{2} = \frac{1}{3}*x [/tex]
[tex] 4\frac{1}{2} = \frac{x}{3} [/tex]
Multiply both sides by 3
[tex] 4\frac{1}{2}*3 = \frac{x}{3}*3 [/tex]
[tex] \frac{9}{2}*3 = x [/tex]
[tex] \frac{27}{2} = x [/tex]
[tex] 13\frac{1}{2} = x [/tex]
x = number of km Nina runs in 1 hour = 13½ kilometers