Question

So far, a storm has traveled 35 miles in 1/2 hour. If it is currently 5:00 P.M. and the storm is 105 miles away from you, at what time will the storm reach you?

Answer 1

Answer: 6:30 P.M.

Step-by-step explanation:

We have the following data:

$d=35 mi$ is the distance the storm travels

$t=\frac{1}{2} h=0.5 h$ is the time it takes to the storm travel the 35 miles

$D=105 mi$ is the distance between you and the storm

So, we can solve this with the following formula:

$V=\frac{d}{t}$ (1)

Where $V$ is the speed of the storm

$V=\frac{35 mi}{0.5 h}$

$V=70 mi/h$ (2)

Now that we know the spped of the storm, we have to calculate the time $T$ it takes to reach you, taking into account you are 105 miles away:

$T=\frac{D}{V}$ (3)

$T=\frac{105 mi}{70 mi/h}$ (4)

$T=1.5 h$ (5)

If we add this 1.5 hours to your current time 5:00 P.M. we will have as a result the storm will reach you at 6:30 P.M.