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Mary leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves
Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart,
how many hours will it take for Mary to meet Phil?
Solution
Let t = Mary's time on the road
:
(t-1) = Phil's time on the road; (He left 1 hr later)
:
When they meet, they will have traveled a total 380 miles
:
Write a distance equation; distance = speed * time
:
Mary's distance + Phil's distance = 380
50t + 60(t-1) = 380
:
50t + 60t - 60 = 380
:
110t = 360 + 60
:
t = 440/110
:
t = 4 hrs is Mary's time on the road

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Mary leaves San Francisco and travels toward Los Angeles at 50 mih..pdf

  • 1. Mary leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Mary to meet Phil? Solution Let t = Mary's time on the road : (t-1) = Phil's time on the road; (He left 1 hr later) : When they meet, they will have traveled a total 380 miles : Write a distance equation; distance = speed * time : Mary's distance + Phil's distance = 380 50t + 60(t-1) = 380 : 50t + 60t - 60 = 380 : 110t = 360 + 60 : t = 440/110 : t = 4 hrs is Mary's time on the road