<PRE><B>Question 407389</B>
Lauren drove her car for 3 hours in a dust storm.
 When the skies cleared, she increased her speed by 30 miles per hour and drove
 for 4 more hours, completing her 295-mile trip.
 How fast did she travel during the dust storm?
:
Let s = the slower speed
then
(s+30) = the faster speed
:
Write a distance equation, Dist = time * speed
:
Slow dist + fast dist = 295 mi
3s + 4(s+30) = 295
:
3s + 4s + 120 = 295
7s = 295 - 120
s = {{{175/7}}}
s = 25 mph is the dust storm speed
:
:
Check the solution by finding the dist at each speed
3(25) + 4(55) = 
75 + 220 = 295</PRE>