Question 100138
The Yankee Clipper leaves the pier at 9:00 AM at 8 knots. A half hour later, The River Rover leaves the same pier in the same direction traveling at 10 knots. At what time will The River Rover overtake The Yankee Clipper?
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Comment: That is what algebra is all about; if something is missing,
call it "x" and solve for it.
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Clipper DATA:
Rate = 8 knots ; Distance = x miles ; time = d/r = x/8 hrs.
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Rover DATA:
Rate = 10 knots; Distance = x miles ; time = d/r = x/10 hrs.
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EQUATION:
Cipper time = Rover time + (1/2) hr.
x/8 = x/10 + (1/2)
Multiply thru by 40 to get:
5x = 4x + 20
x = 20 miles
Clipper time = 20/8= 5/2 hrs. 
9:00 plus (5/2) hrs = 11:30 AM
Rover will over take Clipper at 11:30 AM
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Cheers,
Stan H.