SOLUTION: Two motorists start toward each other from cities 400 miles apart at 1 P.M. If one motorist travels at an average rate of 42 miles per hour and the other motorist travels at an ave

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Question 627452: Two motorists start toward each other from cities 400 miles apart at 1 P.M. If one motorist travels at an average rate of 42 miles per hour and the other motorist travels at an average rate of 38 miles per hour, at what time will the cars meet?
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Two motorists start toward each other from cities 400 miles apart at 1 P.M. If one motorist travels at an average rate of 42 miles per hour and the other motorist travels at an average rate of 38 miles per hour, at what time will the cars meet?
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this is similar:
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From a point on a lake, two boats are driven in opposite directions, one at 9 mph and the other at 10 mph. In how many hours will they be 57 minutes apart?
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Going in opposite directions, speeds are added.
--> 19 mi/hr
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d = r*t
t = d/r

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of one of the motorists as standing still
and the other one traveling at the sum of their speeds
So +400+ miles will be covered by a car going
+42+%2B+38+=+80+ mi/hr
+400+=+80t+
+t+=+5+ hrs
They will meet 5 hrs after 1 PM or 6 PM