Hello, if anyone can show me how to justify the solution to this problem, I would appreciate it.
1. A boat travels 4 hrs. on a trip downstream with a 6mph current. The return trip against the current takes 5 hrs. Find the speed of the boat in still water.
2. Okay, so it seems like my professor left out the distance in this equation, but then again, I may just be confused. He says that the boat's rate of speed in still water is 54 mph. I can't seem to figure out how he got that figure. Please Help!
1. A boat travels 4 hrs. on a trip downstream with a 6mph current. The return trip against the current takes 5 hrs. Find the speed of the boat in still water.
2. Okay, so it seems like my professor left out the distance in this equation, but then again, I may just be confused. He says that the boat's rate of speed in still water is 54 mph. I can't seem to figure out how he got that figure. Please Help!
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v = boat speed, still water
distance,down = speed x time = (v + 6) x 4 = distance, up = (v - 6) x 5
so, 4v + 24 = 5v - 30.............v = 54 mph
distance,down = speed x time = (v + 6) x 4 = distance, up = (v - 6) x 5
so, 4v + 24 = 5v - 30.............v = 54 mph