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It takes 4.5 hours for a ship traveling downriver to get from port A to port B. The return journey takes 6.3 hours. The river flows at 40 meters per minute. What is the distance between the two ports
It takes 4.5 hours for a ship traveling downriver to get from port A to port B. The return journey takes 6.3 hours. The river flows at 40 meters per minute. What is the distance between the two ports
Thespeedof the river is ..... (40 m/min)*(60 min/h)*((1 km)/(1000 m)) = 2.4 km/hHere, we have,speed=distance/timeLet d represent the distance between the ports. Let s represent the speed of the ship.Downstream, we have.. s +2.4 = d/4.5.. s = d/4.5 -2.4Upstream,we have.. s -2.4 = d/6/3.. s = d/6.3 +2.4Now, we have thespeedof the ship represented two ways. We assume the speed of the ship doesn't vary. so these are equal... (d/6.3) +2.4 = (d/4.5) -2.4.. 4.8 = d(1/4.5 -1/6.3) = d(4/63) . . . . . rearrange and simplify.. 75.6 = d . . . . . . . . . . . . . . . . . . . . . . .multiply by 63/4Thedistancebetween the two ports is 75.6 km.To learn more onDistanceclick:brainly.com/question/15172156#SPJ12...
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