Question

What is the rate of the boat in still water and what is the rate of the current?

Answer 1

Answer: 2mp

Step-by-step explanation: Let "b" represent the speed of the boat in still water

Let "c" represent the speed of the current

Let "t" represent time

Downstream(same direction) =(b+c)*t

Upstream(against current)=(b-c)*t

(b+c)*3=24

(b-c)*4=16

3b+3c=24....all sides can be divided by 3 =b+c=8

4b-4c=16.....all sides can be divided by 4 =b-c=4

Use Elimination method

b+c=8

b-c= 4 Subtracting

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2c=4

find c by dividing both sides by 2. c=2

if c=2, substitute to get b

b+2=8

 -2=-2

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b=6

Speed of boat in still water =6mph

rate of current=2mp