Question 366878
The formula d = r x t is used to determine distance, d given the rate, r, and the time traveled, t. 
A. solve the formula for time t. (could you show me how to work out this question?) 
Initial formula:
d = rt
The idea is to isolate 't' to one side of the equation.  So, we would like to get rid of the 'r', we divide both sides by 'r':
d/r = (rt)/r
Notice the 'r's cancel on the right leaving:
d/r = r  (this is what they're looking for)
.
B. What is the average speed if you spent 5 hours and 45 minutes on the road and traveled 365.635 miles? ( show all your work please why I can understand how to do it.)
The 't' (time) in d=rt is in "hours"
So, we must convert "5 hours and 45 minutes" into hours:
45 mins = 45 mins * 1hr/60mins = 45/60 hr = 0.75 hr
That is, 45 mins is the same as "three quarters" (.75) of an hour.
Then 5+.75 =5.75 hours
plug what was given into:
d =rt
365.635=r(5.75)
365.635/5.75=r
63.589 mph = r
.
C. If you traveled 19 miles at an average speed of 43 miles per hour, how long would it take you? (Show all your work please.)
Plug what was given into:
d=rt
19 = 43t
19/43 = t
0.442 hours = t
OR, converting to minutes:
26.5 minutes = t