Answer: The mouse can travel 2.045 miles .
Step-by-step explanation:
Speed of mouse = 2.0 feet per second.
Time traveled by mouse = 1.5 hours = 1.5 × 3600 seconds [ as 1 hour = 3600 seconds]
Distance traveled by mouse in 1.5 hours = speed × time
= 2.0 × 1.5 × 3600 = 10800 feet.
We know that
1 mile = 5280 feet
then 1 foot = 1/5280 miles
Distance in miles = [tex]10800\times \frac{1}{5280} miles=2.045miles[/tex]
Given
A mouse scurries across your kitchen floor at 2.0 feet per second.
Find out the mouse travel in 1.5 hours.
To proof
FORMULA
Distance = speed × time
[tex]1foot = \frac{1}{5280} miles[/tex]
Convert feet per second into miles per second
[tex]= \frac{2.0}{5280}[/tex]
As given in the question
Time = 1.5 hours
1 hours = 3600 second
Time convert in the second
Time = 1.5 × 3600 second
= 5400 second
put all these value in the above formula
we get
[tex]Distance= \frac{2.0\times 1.5 \times 3600}{5280}[/tex]
[tex]Distance= \frac{10800}{5280}[/tex]
= 2.04 (approx) miles
= 2.0 miles
Hence proved
