Question

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?

Answer 1

Answer:

$Time = 17.143\ mins$ -- When going

$Time = 40\ mins$ -- When coming back

Step-by-step explanation:

Given

$Speed\ to = 7mi/hr$

$Speed\ from = 3mi/hr$

$Distance = 2\ mi$

Required

Determine time taken to your friend's house

Determine time taken from your friend's house

Distance is calculated as:

$Time = \frac{Distance}{Speed}$

From the question, we understand that:

$Distance = 2\ mi$

When going:

$Speed\ to = 7mi/hr$

So, we have:

$Time = \frac{2mi}{7mi/hr}$

$Time = \frac{2}{7}hr$

Express in Minutes

$Time = \frac{2}{7} * 60$

$Time = \frac{120}{7}$

$Time = 17.143\ mins$

When coming back:

$Speed\ from = 3mi/hr$

$Time = \frac{2mi}{3mi/hr}$

$Time = \frac{2}{3}hr$

Express in Minutes

$Time = \frac{2}{3} * 60$

$Time = \frac{120}{3}$

$Time = 40\ mins$