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As part of a conditioning program, a jogger ran 12 mi in the same amount of time as it took a cyclist to ride 24 mi. The rate of the cyclist was 12 mph faster than the rate of the jogger. Find the rate of the jogger and the rate of the cyclist.

Respuesta :

ballyho126

Answer:

Distance = time * speed

let x be rate of the cyclist

x-12 = the rate of the jogger

they have the same time

so:  12mi/(x-12)mph = 24mi / x mph

12x=24(x-12)

288=12x

x=24

rate of the cyclist =24 mph

rate of the jogger = 12 mph



ashishdwivedilVT

The speeds of the jogger and cyclist come to be 12 mph and 24 mph respectively.

Suppose the speed of the jogger = x

The speed of the cyclist = y

What is the speed?

Speed is defined as the distance covered in unit time.

According to the question:

[tex]\frac{12}{x} =\frac{24}{y}[/tex]

[tex]y=2x[/tex]......(1)

[tex]y-x=12[/tex]......(2)

By solving equations (1) and (2)

[tex]x=12\\y=24[/tex]

So, the speed of the jogger = 12 mph

The speed of the cyclist = 24 mph

Hence, the speeds of the jogger and cyclist come to be 12 mph and 24 mph respectively.

To get more about speed visit:

https://brainly.com/question/4931057

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