Demarcus and Fabian live 23 miles apart and play soccer at a park between their homes Demarcus rode his bike for 3/4 of an hour and Fabian rode his bike for 1/2 of an hour to get to the park Fabian speed of 60 mph faster than the demarcus's speed find the speed of the soccer players

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cheyannecaballero cheyannecaballero · Answer 1 · 2019-09-12T04:42:59+02:00

Answer:

Step-by-step explanation:

3/4r + 1/2(r+6)=23

3/4r + 1/2r +3=23

5/4r =20

Multiplying by 45 yields r=16

DaMarcus's speed is r=16 miles per hour & Fabian's speed is r+6=22 miles per hour.

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varshamittal029 varshamittal029 · Answer 2 · 2022-06-25T17:08:38+02:00

Speed of demarcus is 16 mph & speed of fabian is 22 mph.

The rate of change of position of a particle with respect to time is called speed of that particle.

Distance = Speed × time

Let, Demarcus rides x mph for 3/4th of an hour i.e. 0.75 hour

So, he rode 0.75x miles

Given that, Fabian's speed is 6 mph more than Demarcus's speed.

Fabian rides (x+6) mph for half an hour, i.e. 0.5 hour

So, he rode 0.5(x+6) miles

According to the question,

0.75x+0.5(x+6) = 23

⇒ 0.75x+0.5x+3=23

⇒ 1.25x = 20

⇒ x = 20/1.25

⇒ x = 16 mph

So, Demarcus's speed is 16 mph

Hence, Fabian's speed is 16+6 = 22 mph

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