Question 47768This question is from textbook Beginning Algebra
: Ching 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 Ching to meet Phil?
This question is from textbook Beginning Algebra
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Ching 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 Ching to meet Phil?
Ching DATA:
distance= x miles ; rate=50 mi/hr. ; time = d/r = x/50 hr.
Phil DATA:
distance=380-x miles rate=60 mi/hr. ; time = d/r = (380-x)/60 hr.
EQUATION:
Ching time = Phil time
x/50 = (380-x)/60
60x = 19000-50x
110x = 19000
x=172.727272....
Ching time = x/50 = 3.454545... hrs.
Cheers,
Stan H.
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