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

Nina is training for a marathon She can run 4 12 kilometers in 13 of an hour At this pace how many kilometers can Nina run in 1 hour class=

Respuesta :

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