Mathematics: Kyle and cooper are driving. kyle drives 5 mph faster than cooper. the same amount of time of kyle drives 87.1 miles cooper drives 80.6 miles how quickly are each driver driving

Step-by-step explanation:Reciprocal of Reciprocal of According to question...

Kyle and cooper are driving. kyle drives 5 mph

Ответ:

conyabrew82

11.01.2022

Mathematics

Kyle, 67 mphCooper, 62 mph

Step-by-step explanation:

Their difference in distance is 87.1 -80.6 = 6.5 miles. Since their difference in speed is 5 mph, it took them (6.5 mi)/(5 mi/h) = 1.3 hours to achieve that separation.

Kyle's speed is 87.1 mi/(1.3 h) = 67 mi/h.

Cooper's speed is 80.6 mi/(1.3 h) = 62 mi/h. (5 mi/h slower)

Kyle is driving 67 mph; Cooper is driving 62 mph.

Alternate solution

The ratio of their speeds is 87.1/80.6 = 67/62. The difference in ratio units happens to equal their difference in miles per hour, so their speeds must be 67 and 62 miles per hour.

0,0(0 оценок)

Ответ:

brittany1903

09.08.2020

Mathematics

$\dfrac{6}{17}$

Step-by-step explanation:

Reciprocal of $3-x\ \text{is}\ \dfrac{1}{3-x}$

Reciprocal of $1-2x\ \text{is}\ \dfrac{1}{1-2x}$

According to question

$\Rightarrow \dfrac{1}{3-x}+\dfrac{1}{1-2x}=6\times \dfrac{1}{3-4x}\\\\\Rightarrow \dfrac{(1-2x)+(3-x)}{(1-2x)(3-x)}=\dfrac{6}{3-4x}\\\\\Rightarrow \dfrac{4-3x}{(1-2x)(3-x)}=\dfrac{6}{3-4x}$

$\Rightarrow (4-3x)(3-4x)=6(1-2x)(3-x)\\\Rightarrow 12-16x-9x+12x^2=18-6x-36x+12x^2\\\Rightarrow 12x^2-25x+12=18-42x+12x^2=0\\\Rightarrow 42x-25x=6\\\Rightarrow 17x=6\\\Rightarrow x=\dfrac{6}{17}$

0,0(0 оценок)

Kyle and cooper are driving. kyle drives 5 mph faster than cooper. the same amount of time of kyle drives 87.1 miles cooper drives 80.6 miles how quickly are each driver driving

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question