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downstream speed = still-water speed + current
upstream speed = still-water speed - current downstream + upstream = 2(still-water speed) downstream speed = 24 mi/4 hr = 6 mi/hr upstream speed = 18 mi/6 hr = 3 mi/hr downstream + upstream = 9 mi/hr = 2*(still-water speed) still-water speed = 4.5 mi/hr current = 6-4.5 = 1.5 mi/hr |
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Let x = speed of current
speed of canoe downstream is 24miles/4hr. or 6 miles/hr. speed of canoe upstream is 18miles/6 hr. or 3 miles/hr. Assume the canoe travels at the same speed both ways; so average speed of canoe in still water = s s + x = 6mile/hr s - x = 3mile/hr Add equations 2s = 9 miles/hr s= 4 1/2 miles/hr speed in still water x = 6 - 4 1/2 = 1 1/2 miles/hr. rate of current |
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