When traveling a set distance, the speed you travel varies inversely with the time you are traveling. The first time you drive to the store from your house you travel an average of 35 mph and it takes you 10 minutes to get there. The next time you go during school zone hours, so your average speed decreases to 20 mph. How long will it take you to get to the store this time?

Question

lolololhelpme · Answer

A. 15.5 min
B. 17.5 min
C. 21 min
D. 9 min

wckeller · Answer

In order to solve this problem, we need to find the distance we are traveling.
Do you know the distance formula?

lolololhelpme · Answer

No I don't think so

wckeller · Answer

$$speed = \frac{ distance }{ time }$$
$$distance = speed*time$$

wckeller · Answer

First, we need to convert minutes into hours, as our speed is in miles per hour.

$$\frac{ 10\min }{ 60\min } =\frac{1}{6}th$$
of an hour.

wckeller · Answer

I think I have made a mistake... I've really confused myself...

wckeller · Answer

give me a little bit

lolololhelpme · Answer

lol yeah i'm confused alittle too

wckeller · Answer

speed = 35 mph
time = 1/6 hrs
distance=speed*time

35*(1/6)=5.833miles

time=distance/speed

5.833miles/20mph = 0.29165 hrs

0.29165hrs * 60min = 17.499 minutes

Rounded up = 17.5 min

Final answer = B

wckeller · Answer

I was getting confused because the answer was coming out in hours, I didn't realize I needed to convert it to minutes.

wckeller · Answer

Sorry it took so long!! I really confused myself

lolololhelpme · Answer

it's okay!! Thank you!!!

wckeller · Answer

No problem :)