Question

I don't know how to do this practice problem :/

Could someone explain? I was told in class that the answer is yes but don't quite understand why

Answer 1

First of all, we know that Emily travels 3/4 of a mile in 4 minutes and 30 seconds (i.e. 9/2 of a minute). So, her current velocity is

`v = ((3)/(4))/((9)/(2)) =(3)/(4)\cdot(2)/(9) = (1)/(6)` of a mile per minute.

At this speed, it takes

`t = (s)/(v) = (3.42)/((1)/(6)) = 3.42\cdot 6 = 20.52`

minutes to travel 3.42 miles.

Since she left at 8.25, she will arrive at about 8.46, so she's on time for school.