A fisherman can row upstream at 4 mph and downstream at 6 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 5 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/4 + d/6 = 5 {the two times are d/4 and d/6....distance divided by rate} 3d + 2d = 60 {multiplied entire equation by 12 to eliminate fractions} 5d = 60 {combined like terms} d = 12 {divided by 5} distance upstream was 12 distance downstream was 12 {same as upstream} Total distance = 24 miles Ask the House
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January 2021
