SOLUTION: travelling at the full speed against the current of a river a motorboat moves at the rate of 12 kilometers per hour relative to the land.Travelling at a half speed with the curren

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Question 47811This question is from textbook
: travelling at the full speed against the current of a river a motorboat moves at the rate of 12 kilometers per hour relative to the land.Travelling at a half speed with the current,it moves at 8 kilometers per hour. Find the maximum speed of the boat in still water. This question is from textbook

Answer by venugopalramana(3286) About Me  (Show Source):
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travelling at the full speed against the current of a river a motorboat moves at the rate of 12 kilometers per hour relative to the land.Travelling at a half speed with the current,it moves at 8 kilometers per hour. Find the maximum speed of the boat in still water.
FULL SPEED OF BOAT IN STILL WATER =B
SPEED OF CURRENT OF WATER =W
SPEED OF BOAT AT FULL SPEED AGAINST CURRENT =B-W=12..............I
HALF SPEED OF BOAT IN STILL WATER =B/2=0.5B
SPEED OF BOAT AT HALF SPEED WITH THE CURRENT = 0.5B+W=8..............II
EQN.I+EQN.II
1.5B=20
B=20/1.5=13.333