Question 248851
Diana's average driving speed is 8 miles per hour faster than Damon's.
 In the same length of time it takes Diana to drive 432 miles, Damon only drives 368 miles. 
for how long did Diana and Damon each drive?
:
Let s = Damon's speed
then it says Diana's speed is 8 mph faster so we can say:
(s+8) = Diana's speed
:
We will find the speed first, then the time
The two trips took equal time so write a time equation: Time = dist/speed
:
Diana's time = Damon's time
{{{432/((s+8))}}} = {{{368/s}}}
Cross multiply
432s = 368(s+8)
;
432s = 368s + 2944
:
432s - 368s = 2944
:
64s = 2944
s = {{{2944/64}}}
s = 46 mph is Damon's speed
and
46 + 8 = 54 mph is Diana's speed
;
Find the time:
368/46 = 8 hrs
check to see they are equal
432/54 = 8 hrs also, confirms our solution
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Did this unconfuse you somewhat?