Question

I want to see how much time in minutes I can save by cutting the cornerThe speed is 4 mph

Answer 1

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 :

`d=vt`

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 :

`\frac{4\text{ }\cancel{miles}}{\cancel{hour}}*\frac{5280\text{ }feet}{\cancel{mile}}*\frac{1\text{ }\cancel{hour}}{60\text{ }min}=352\text{ }feet\/min`

So the speed is 352 ft per min

Use the distance formula above to solve the time needed in each scenario.

`\begin{gathered} d=vt \\ 52=352(t) \\ t=(52)/(352)=0.15\text{ }min \\ \\ 39.4=352(t) \\ t=(39.4)/(352)=0.11\text{ }min \end{gathered}`

Get the difference to solve how much time can you save.

0.15 min - 0.11 min = 0.04 minute