Question

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 1

13½ kilometers

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

`1*4(1)/(2) = (1)/(3)*x`

`4(1)/(2) = (x)/(3)`

Multiply both sides by 3

`4(1)/(2)*3 = (x)/(3)*3`

`(9)/(2)*3 = x`

`(27)/(2) = x`

`13(1)/(2) = x`

x = number of km Nina runs in 1 hour = 13½ kilometers