Suppose you run 2 miles from your house to a friends house at a speed of 7 mi/hr. When the time comes to return home, you are tired and walk the same 2 miles at 3 mi/hr. How long did you spend running to your friends house? How long did you spend walking home?

Respuesta :

Answer:

[tex]Time = 17.143\ mins[/tex] -- When going

[tex]Time = 40\ mins[/tex] -- When coming back

Step-by-step explanation:

Given

[tex]Speed\ to = 7mi/hr[/tex]

[tex]Speed\ from = 3mi/hr[/tex]

[tex]Distance = 2\ mi[/tex]

Required

Determine time taken to your friend's house

Determine time taken from your friend's house

Distance is calculated as:

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

From the question, we understand that:

[tex]Distance = 2\ mi[/tex]

When going:

[tex]Speed\ to = 7mi/hr[/tex]

So, we have:

[tex]Time = \frac{2mi}{7mi/hr}[/tex]

[tex]Time = \frac{2}{7}hr[/tex]

Express in Minutes

[tex]Time = \frac{2}{7} * 60[/tex]

[tex]Time = \frac{120}{7}[/tex]

[tex]Time = 17.143\ mins[/tex]

When coming back:

[tex]Speed\ from = 3mi/hr[/tex]

[tex]Time = \frac{2mi}{3mi/hr}[/tex]

[tex]Time = \frac{2}{3}hr[/tex]

Express in Minutes

[tex]Time = \frac{2}{3} * 60[/tex]

[tex]Time = \frac{120}{3}[/tex]

[tex]Time = 40\ mins[/tex]