84.8k views
5 votes
S

If it takes someone t minutes to drive, run, or walk a mile, then their average speed s(t), in miles per hour, is

given by the formula

60

s(t) = 0

for t > 0

t

Find s(10) and s(12).

s(10) =

s(12) =

miles per hour

miles per hour

User Nayagam
by
8.3k points

1 Answer

6 votes

Answer:

The average speed here is 60 mph.

Explanation:

We need to express the unit rate here. That's the speed, which is defined as (distance) / (time):

1 mile

speed s(t) = ----------------

t (min)

We need to convert the unit of time (min) to the new unit of time (hrs):

1 mile 60 min

speed s(t) = --------------- * -------------- = 60 miles/hr = 60 mph

t (min) 1 hr

The average speed here is 60 mph. This is not dependent on time, t, so we cannot calculate s(10) or s(12). Because of this, s(t) = 60 mph. The distance traveled in t hours is d(t) = s(t)*t.

User Minkle Garg
by
7.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories