SOLUTION: A boat travelling at full speed against a current goes 14 kph. Travelling at half speed with current goes 10 kph. Find the rate of the current and the maximum speed of the boat. (u
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Question 1148759: A boat travelling at full speed against a current goes 14 kph. Travelling at half speed with current goes 10 kph. Find the rate of the current and the maximum speed of the boat. (use x and y variables and show a full solution please? thanksss!) Answer by ikleyn(53763) (Show Source):
You can put this solution on YOUR website! .
A boat travelling at full speed against a current goes 14 kph. Travelling at half speed with current goes 10 kph.
Find the rate of the current and the full speed of the boat in still water.
(use x and y variables and show a full solution please)
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Pay attention on how I edited your post to make the formulation precisely correct.
Let "x" be the "full" speed of the boat in still water,
and let "y" be the rate of the current.
Then the effective rate moving upstream is (x-y) kph.
the effective speed moving downstream is kph.
From the condition,
x - y = 14 kph (1)
+ y = 10 kph (2)
Add the equations (1) and (2). You will get
= 14 + 10 = 24,
which implies x = = 16 kph.
Then from equation (1), y = x - 14 = 16 - 14 = 2 kph.
ANSWER. The "full" speed of the boat in still water is 16 kph;
the rate of the current is 2 kph.
Solved.
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What you will do with my full solution / solutions ?
