SOLUTION: Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She averaged 75 mph along the route from Alburquerque to Roswell and averaged 70 mphfrom Roswell to Ca
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Question 148949: Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She averaged 75 mph along the route from Alburquerque to Roswell and averaged 70 mphfrom Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to drive from Alburquerque to Roswell? Found 2 solutions by mangopeeler07, ankor@dixie-net.com:Answer by mangopeeler07(462) (Show Source):
You can put this solution on YOUR website! x=time from Alburquerque to Roswell (in hrs)
y=time from Roswell to Carlsbad (in hrs)
coefficient=mph
75x+70y=220----------------because hr times mph gives you total miles
x+y=3----------------------total time is 3 hrs
You can put this solution on YOUR website! She averaged 75 mph along the route from Albuquerque to Roswell and averaged 70 mph from Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to drive from Albuquerque to Roswell?
:
Let t = time to go from Al to Ros
Then
(3-t) = time to go from Ros to Car
:
Write a dist equation: Dist = speed * time
:
A>R dist + R>C dist = 220 miles
75t + 70(3-t) = 220
;
75t + 210 - 70t = 220
:
75t - 70t = 220 - 210
:
5t = 10
t =
t = 2 hrs from Al to Ros
:
:
Check solution by finding the total distance: (3-2 = 1 hr Ros to Car)
75*2 + 70*1 =
150 + 70 = 220
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