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Ari walked 2 3/4 miles at a constant speed of 2 1/2 miles per hour. Beth walked 1 3/4 miles at a constant speed of 1 1/4 miles per hour. Cindy walked for 1 hour and 21 minutes at a constant speed of 1 1/8 miles per hour. List the three people in order of the times they spent walking from least to greatest.

Respuesta :

kudzordzifrancis
Time Ari Spent

[tex]speed = \frac{distance \: covered}{time \: taken} [/tex]

[tex]2 \frac{1}{2} mph = \frac{ 2\frac{3}{4} }{time} [/tex]

[tex]time= \frac{ 2\frac{3}{4} h }{ 2 \frac{1}{2} mph } [/tex]

[tex]time= \frac{ \frac{11}{4} }{ \frac{5}{2} }hours[/tex]

[tex]time= \frac{11}{10} hours[/tex]

[tex]time =1 \frac{1}{10} hours = 1.1 \: hours[/tex]

Time Beth spent

[tex]1 \frac{1}{4} mph = \frac{ 1\frac{3}{4} }{time} [/tex]

[tex]time = \frac{ 1\frac{3}{4} }{1 \frac{1}{4} mph} [/tex]

[tex]time = \frac{ \frac{7}{4} }{ \frac{5}{4}} hours[/tex]

[tex]time = \frac{7}{5} hours[/tex]

[tex]time = 1 \frac{2}{5} hours = 1.4 \: hours[/tex]

Time Cindy Spent


We convert Cindy's time to hours.

[tex]1 \: hour \: 21 \: minutes \: = 1 \frac{21}{60} hours = 1 \frac{7}{20} hours = 1.35hours[/tex]

In order of time spent,

Ari, Cindy, Beth

The order of their time spent from least to greatest is; Ari, Cindy, Bety

What is the time spent for the distance covered?

Distance covered by ari = 2³/₄ miles

Speed of ari = 2¹/₂ miles per hour

Formula for time is;

time = distance/speed

Thus;

Time spent by ari = 2³/₄/2¹/₂

Time spent by ari = 1.1 hours

Distance covered by beth = 1³/₄ miles

Speed of beth = 1¹/₄ miles per hour

Formula for time is;

time = distance/speed

Thus;

Time spent by beth = 1³/₄/1¹/₄

Time spent by beth = 1.4 hours

Distance covered by cindy = 1 hour 21 minutes = 1⁷/₂₀ miles

Speed of cindy = 1¹/₈ miles per hour

Formula for time is;

time = distance/speed

Thus;

Time spent by cindy = 1⁷/₂₀/1¹/₈

Time spent by cindy = 1.35 hours

Read more about distance and time at; https://brainly.com/question/4931057

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