A​ boat's crew rowed 33kilometers​ downstream, with the​ current, in 3hours. The return trip​ upstream, against the​ current, covered the same​ distance, but took 11hours. Find the​ crew's rowing rate in still water and the rate of the current.

Answer:The crew rowing rate in still water = 7km/hrThe rate of the current = 4km/hrStep-by-step explanation:The distance rowed downstream with the current = 33kmTime taken to row downstream = 3hrsThe distance rowed upstream against the current = 33kmTime taken to row upstream = 11hrsLet the crew's rowing rate in still water = Xkm/hrLet the rate of current = Ykm/hrFor the downstream movement, we will have (X+Y). This is because the boat rowed with the current For the upstream movement, we will have (X-Y). This is because the boat rowed against the current Downstream Speed = distance /time = 33/3 = 11kmUpstream speed = distance /time = 33/11 = 3kmHence X+Y = 11 and X-Y= 3Add both equations. We haveX+Y+X-Y = 11 + 32X = 14X= 14/2X= 7put X= 7 in any of the equations 7-Y= 3Y= 7-3Y= 4Hence the crew rowing rate in still water = 7km/hr and the rate of the current = 4km/hr