A fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fisherman row if the entire trip took 7 â€‹hours?

**distance = rate x time**

or

**d = rt**

However, the information given includes the rates and the total time of the trip.

So, solve the formula, d = rt for t (time). You'll see why in a little bit!

d = rt {distance, rate, time formula}

**t = d/r**{solved for t.....time equals distance divided by rate}

Now, apply that to what is given to you.

**d = distance the point he got tired**{which is the same distance upstream and downstream}

Remember, t = d/r {the time is the distance divided by the rate}

d/2 + d/8 = 7 {the two times are d/2 and d/8....distance divided by rate}

4d + d = 56 {multiplied entire equation by 8 to eliminate fractions}

5d = 56 {combined like terms}

d = 11.2 {divided by 5}

distance upstream was 11.2

distance downstream was 11.2

**Total distance = 22.4 miles**

**Ask the House**