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

What is the rate of the boat in still water and what is the rate of the current?-example-1

1 Answer

5 votes

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

=====

2c=4

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

if c=2, substitute to get b

b+2=8

-2=-2

======

b=6

Speed of boat in still water =6mph

rate of current=2mp

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