Question

I'm currently studying in order to take the Military ASVAB test using my book at the moment and I need a little bit of help with this question. (Thank you in advance!)"VERY IMPORTANT"(Also I really need the short process for this equation in order to get to the answer please, because this is not for classwork.)

Answer 1

Given -

Average speed = 36 miles/hour

Time = 45 minutes

Average speed on the way home = 27 miles/hour

To Find -

How far does Ilhan live from work =?

Step-by-Step Explanation -

Let x = Time needs to go to work

y = Time needs to go back home

Now, according to the question she spent 45 minutes in the car

So,

x + y = 45

x = 45 - y ........(1)

Also,

Distance to go to work = DIstance to go to the home

36(x) = 24(y) ........(2)

Now, putting value of x from (1) in equation (2) we get:

36(45 - y) = 24y

1620 = 24y + 36y

1620 = 60y

y = 27

Final Answer -

(D) 27 miles