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 Ask Algebra House
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