Problema Solution

How far upstream can you canoe at 8 mph and still return downstream at 12 mob in a total time of 4 hours?

Answer provided by our tutors

let


t1 = the time of the upstream travel

t2 = the time of the downstream travel


since distance = speed*time we have


8*t1 = 12*t2 divide both sides by 4


2t1 = 3t2


the total time is 4 hours


t1 + t2 = 4


by solving the system of equations


2t1 = 3t2

t1 + t2 = 4


we find


t1 = 2.4 h


t2 = 1.6 h


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2.4*8 = 19.2 mi


you can canoe 19.2 miles upstream.