SOLUTION: The Yankee Clipper leaves the pier at 9:00am at 8 knots(nautical miles per hour).A hakf hour later,The Riverboat Rover leaves the same pier in the same direction traveling at 10 kn

Question 167498: The Yankee Clipper leaves the pier at 9:00am at 8 knots(nautical miles per hour).A hakf hour later,The Riverboat Rover leaves the same pier in the same direction traveling at 10 knots.At what time will The Riverboat Rover overtake The Yankee Clipper?
Thank you
Found 2 solutions by stanbon, Mathtut:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The Yankee Clipper leaves the pier at 9:00am at 8 knots (nautical miles per hour).A half hour later,The Riverboat Rover leaves the same pier in the same direction traveling at 10 knots.
At what time will The Riverboat Rover overtake The Yankee Clipper?
------------------------------
The distances will be the same.
------------------------------
Clipper DATA:
rate = 8 kts/hr ; time = x hrs ; distance = rt = 8x kts
---------------------------------
Rover DATA:
rate = 10 kts/hr ; time = (x-(1/2)) hrs ; distance = rt = 10(x-(1/2)) kts
----------------------------------
EQUATION:
8x = 10(x-(1/2))
8x = 10x - 5
2x = 5
x = 5/2 hrs
----------------
9:00 am + (5/2) hrs. = 11:30 am
====================================
Cheers,
Stan H.

Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
distance = rate * time
in this instance distances will be equal so if clipper is 8(T)
.........................................and if riverboat is 10(T-(1/2))
the are equal to each other because distance is equal
8T=10(T-(1/2))
8T=10T-5
2T=5---->clipper travel time
so if its 9:00am when he leaves it is 11:30am when the river boat over takes him

RELATED QUESTIONS
the Yankee Clipper leaves the pier at 9:00 am at 8 nautical miles per hour. A half hour... (answered by scott8148)
The Yankee Clipper leaves the pier at 9:00 AM at 8 knots. A half hour later, The River... (answered by checkley71,stanbon)
The Yankee Clipper leaves the pier at 9:00 a.m. at 8 knots. A half hour later , The... (answered by richwmiller)
Boat A leaves the pier at 9 a.m. at 8 Knots. A half hour later, Boat B leaves the same... (answered by stanbon)
A supertanker leaves port traveling north at an average speed of 10 knots. Two hours... (answered by mananth)
A supertanker leaves port traveling north at an average speed of 10 knots. Two hours... (answered by TimothyLamb)
A boat in distress, 21 nautical miles from a marina, travels toward the marina at 3... (answered by ankor@dixie-net.com)
Aircraft speed is calculate in nautical Miles per hour or knots. Two aircraft are flying... (answered by Alan3354)
Sailors traditionally measure speed in knots, or nautical miles per hour. A nautical mile (answered by math_helper)