Question
A boat is traveling in a river with a current that has a speed of 1.5 km/h. In one hour, the boat can travel twice the distance downstream as it can travel upstream. How long will it take the boat to travel 100 km in still water?
Answers
If the still-water speed is s, then since distance = speed*time, then in equal time (say, t=1),
(s+1.5) = 2(s-1.5)
s+1.5 = 2s-3
s = 4.5
100/4.5 = 22.22 hrs
or 22 hr 13 min 20 sec
(s+1.5) = 2(s-1.5)
s+1.5 = 2s-3
s = 4.5
100/4.5 = 22.22 hrs
or 22 hr 13 min 20 sec