Question

72. Suppose that Sarah walks along a hiking trail at 2 mi/hra. What is her rate in mi/day?b. How many days will it take for her to reach a destination that is 14 1/2 miles away?c. If she started hiking at 6:00 am, what time will she reach her destination?

Answer 1

Supposing the rate is:

`2(mi)/(hour)`

(a) Converting tho mi/day

Knowing that 1 day = 24 hours

`\begin{gathered} 2\text{ }(mi)/(hour)*(24hour)/(day) \\ 2*24\text{ }(mi)/(day) \\ 48(m\imaginaryI)/(day) \end{gathered}`

The rate is 48 mi/day.

(b) Finding how many days will it take to reach 14 1/2

14 1/2 is the same as 14.5

Dividing 14.5 by 48:

`(14.5miles)/(48(miles)/(day))=0.3days`

It will take 0.30 days.

(c) Finding when it will reach the destination.

Knowing the rate is 2 mi/hour, let's find how many hours it will take to reach 14.5 miles.

`\begin{gathered} \frac{14.5mi}{2\text{ }(mi)/(hour)} \\ 7.25hours \end{gathered}`

7.25 hours is 7 hours + 1/4 hour (15 min)

So, let's sum 06 (starting time) + 07 hours + 15 min

01:15 pm.

He will reach her destination at 01:15 pm.

Answer:

- (a) The rate is 48 mi/day.

- (b) It will take 0.30 days.

- (c) He will reach her destination at 01:15 pm.