The bunny needs to run approximately 269.39 feet
<em><u>Solution:</u></em>
Let "x" be the number of hours passed since the turtle passed the buuny
Given that turtle crawls at a rate of 0.1 miles per hour
Then for "x" hours, distance traveled by turtle is 0.1x miles
Also given that bunny moves at 5 miles per hour but rests for 30 minutes
1 hour = 60 minutes
Therefore,
30 minutes = 0.5 hours
So the bunny rests for 0.5 hours
Thus the distance traveled by bunny is 5(x - 0.5) miles
To find when they will pass each, set the two distances equal to each other
0.1x = 5(x - 0.5)
0.1x = 5x - 2.5
5x - 0.1x = 2.5
4.9x = 2.5
x = 0.51
<em><u>Thus the distance ran by buuny is:</u></em>
Distance = 5(x - 0.5)
Substitute x = 0.51
Distance = 5(0.51020 - 0.5)
Distance = 5(0.010) = 0.05102 miles
Convert to feet
1 mile = 5280 feet
0.05102 miles = 0.05102 x 5280 feet = 269.39 feet
Thus the bunny needs to run approximately 269.39 feet
