# algebra

a tugboat goes 160 miles upstream in 20 hours. The return trip downstream takes 5 hours. Find the speed of the tugboat without a current and the speed of the current.

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1. if tugboats speed is s, and current is c,
since the distances are the same, and
distance = speed * time,

(s-c)*20 = (s+c)*5 = 160

20s - 20c = 160
5s + 5c = 160
or,
20s+20c = 640

40s = 800
s = 20
c = 12

check:
160/32 = 5
160/8 = 20

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