Kevin can travel 23 1/2 miles in 1/4 hour. what is his average speed in miles per hour?

74miles/hr

Step-by-step explanation:

Kevin can travel 23¹/₂ miles in ¹/₄ hour.

The average speed in miles per hour

Speed = distance / time

distance = 23¹/₂ miles= 2x23+1/2= 46+1/2=47/2

Time =  ¹/₄ hour

Speed = 23¹/₂/ ¹/₄= ⁴⁷/₂/ ¹/₄= ⁴⁷/₂* ⁴/₁=⁴⁷/₁* ²/₁= ⁴⁷*²/₁= ⁷⁴/₁= 74miles/hr

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

60%