SOLUTION: Hello Tutor, may you please help me on the following problem? The Delta Queen is a paddle-boat that tours the Mississippi River near New Orleans, Louisiana. It is not uncommon f

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Question 773263: Hello Tutor, may you please help me on the following problem?
The Delta Queen is a paddle-boat that tours the Mississippi River near New Orleans, Louisiana. It is not uncommon for the Delta Queen to run 7mph in still water and for the Mississippi to flow at a rate of 3mph. At these rates, how long will it take the boat to cruise 2mi upstream?
Thank You!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The speed of the boat in still water is 7 mph (given)

The speed of the river is 3 mph (given)

The speed of the boat when it goes upstream (against the current) is 7 - 3 = 4 mph

Now move onto the distance = rate x time equation, plug in d = 2 (given distance of 2 miles) and r = 4 (the speed of the boat when it goes upstream). Then solve for t.

d = rt

2 = 4*t

2/4 = t

1/2 = t

t = 1/2

So it will take 1/2 hour or 30 minutes travel 2 miles upstream.