Jennifer and Kamlee are walking to school. After 20 minutes, Jennifer has walked 4/5 miles. After 25 minutes, Kamlee has walked 5/6 miles. Find their speed in miles per hour

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Answer:

Jennifer's speed is 2.4 miles/hour

Kamlee's speed is 2 miles/hour

Step-by-step explanation:

To find their speed,

Speed can be determined from the formula below,

[tex]Speed = \frac{Distance}{Time}[/tex]

Also, to determine the speed in miles per hour (miles/hour), we will convert the time spent by each of them to hour (NOTE: 60 minutes = 1 hour)

For Jennifer,

Distance = 4/5 miles

Time = 20 mins (Convert to hour)

∴Time = (20/60) hour = 1/3 hour

Hence,

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]Speed = \frac{4/5 miles}{1/3hour}[/tex]

[tex]Speed = \frac{4}{5} \times \frac{3}{1}[/tex]

[tex]Speed = \frac{12}{5}[/tex]

[tex]Speed = 2.4 miles/hour[/tex]

Hence, Jennifer's speed is 2.4 miles/hour

For Kamlee,

Distance = 5/6 miles

Time = 25 minutes (Convert to hour)

Time = (25/60) hour = 5/12 hour

Hence,

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]Speed = \frac{5/6miles}{5/12 hour}[/tex]

[tex]Speed = \frac{5}{6} \times \frac{12}{5}[/tex]

[tex]Speed = 2 miles/hour[/tex]

Hence, Kamlee's speed is 2 miles/hour