ANSWER :
0.04 minute
EXPLANATION :
We have two scenarios, one is going up then taking a turn.
The other is one is by directly cutting the corner.
The total distance when going up then taking a turn is 36 ft + 16 ft = 52 ft
The distance when cutting the corner is 39.4 ft
Recall the distance formula :
[tex]d=vt[/tex]
where d = distance
v = speed
t = time
From the problem, the speed is 4 mph.
Let's convert the speed into feet per minute.
Note that 1 mile = 5280 feet
1 hour = 60 minutes
The conversion will be :
[tex]\frac{4\text{ }\cancel{miles}}{\cancel{hour}}\times\frac{5280\text{ }feet}{\cancel{mile}}\times\frac{1\text{ }\cancel{hour}}{60\text{ }min}=352\text{ }feet\/min[/tex]
So the speed is 352 ft per min
Use the distance formula above to solve the time needed in each scenario.
[tex]\begin{gathered} d=vt \\ 52=352(t) \\ t=\frac{52}{352}=0.15\text{ }min \\ \\ 39.4=352(t) \\ t=\frac{39.4}{352}=0.11\text{ }min \end{gathered}[/tex]
Get the difference to solve how much time can you save.
0.15 min - 0.11 min = 0.04 minute
