SOLUTION: I need to solve this with either the elimination or substitution method. Thank you. It takes Boat A 3 hours longer to travel 50kms than it takes Boat B to travel 60kms. Boat A tra

Question 139334: I need to solve this with either the elimination or substitution method. Thank you. It takes Boat A 3 hours longer to travel 50kms than it takes Boat B to travel 60kms. Boat A travels one third the speed of Boat B. What is the speed of each boat.
Thanks.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve this with either the elimination or substitution method. Thank you. It takes Boat A 3 hours longer to travel 50kms than it takes Boat B to travel 60kms. Boat A travels one third the speed of Boat B. What is the speed of each boat.
----------------------
A-Boat DATA:
distance 50 km ; Rate = x kph ; time = 50/x
-----------------------
B-Boat DATA:
distance = 60 km ; rate = 3x kph ; time = 60/(3x)
----------------------------------
EQUATION:
time A - time B = 3
50/x - 60/(3x) = 3
Multiply thru by 3x to get
150 - 60 = 9x
90 = 9x
x = 10 kph (speed of A-Boat)
3x = 30 kph (speed of B-Boat)
==========================
Cheers,
Stan H.
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