She can row the same distance downstream in .

a.

Find the speed at which Allison is rowing and the speed of the current.

Let be the rowing speed.

Let be the speed of the current.

Allison can row a boat upstream (against the current) in .

Allisons speed in upstream: .

She can row the same distance downstream in .

Allisons speed in downstream: .

The system of equations that represents the and .

Solve the system of equations by elimination method.

Step 1:

Add the equations to eliminate a variable.

                            (Divide each side by )

                                    (Cancel common terms)

Step 2:

Substitute into any original equation to find value.

                                 (First equation)

                           (Substitute )

(Subtract from each side)

                              (Apply additive inverse property: )

                                    (Multiply negative one each side)

Therefore,the speed of the rowing boat is and the speed of the current is .

b.

Allison plans to meet her friends upstream.

No, Allison will be late.

To row upstream she needs .

So,

She will be late.

a. The speed of the rowing boat is and the speed of the current is .

b.She will be late.