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?
Accepted Solution
A:
Answer: 6:30 P.M.Step-by-step explanation:We have the following data:[tex]d=35 mi[/tex] is the distance the storm travels[tex]t=\frac{1}{2} h=0.5 h[/tex] is the time it takes to the storm travel the 35 miles[tex]D=105 mi[/tex] is the distance between you and the stormSo, we can solve this with the following formula:[tex]V=\frac{d}{t}[/tex] (1)Where [tex]V[/tex] is the speed of the storm[tex]V=\frac{35 mi}{0.5 h}[/tex][tex]V=70 mi/h[/tex] (2)Now that we know the spped of the storm, we have to calculate the time [tex]T[/tex] it takes to reach you, taking into account you are 105 miles away:[tex]T=\frac{D}{V}[/tex] (3)[tex]T=\frac{105 mi}{70 mi/h}[/tex] (4)[tex]T=1.5 h[/tex] (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.