SOLUTION: A Hudson RIVER tugboat goes 10 mph in still water. It travels 24 miles upstream and 24 miles back in a total of 5 hours. What is the speed of the current?

Question 344571: A Hudson RIVER tugboat goes 10 mph in still water. It travels 24 miles upstream and 24 miles back in a total of 5 hours. What is the speed of the current?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Rate*Time=Distance
.
.

.
.
Let be the current speed.
.
.
Upstream, against the current,
1.
Downstream, with the current,
2.
Total time,
3.
.
.
.
From eq. 1,

From eq. 2,

Substitute into eq. 3,

mph

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