A fisherman can row upstream at 1 mph and downstream at 4 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 6 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/1 + d/4 = 6 {the two times are d/1 and d/4....distance divided by rate}

4d + d = 24 {multiplied entire equation by 4 to eliminate fractions}

5d = 24 {combined like terms}

d = 4.8 {divided by 5}

distance upstream was 4.8

distance downstream was 4.8

**Total distance = 9.6 miles**

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