Alegebra/Trig Word Problem

• Jan 10th 2010, 07:57 PM
kristin2700
Alegebra/Trig Word Problem
While Steve and LeRoy were fishing 1 mile from shore, their boat springs a leak and water comes in a constant rate of 10 gallons per minute.
The boat will sink if it takes in more than 30 gallons of water. Steve starts rowing towards the shore at a constnat rate of 4 miles per hour while LeRoy bails water out of the boat.
What is the slowest rate in gallons per minute, at which LeRoy can bail water out of the boat if they are to reach the shore without sinking?

Please show all work.
• Jan 10th 2010, 08:02 PM
Prove It
Quote:

Originally Posted by kristin2700
While Steve and LeRoy were fishing 1 mile from shore, their boat springs a leak and water comes in a constant rate of 10 gallons per minute.
The boat will sink if it takes in more than 30 gallons of water. Steve starts rowing towards the shore at a constnat rate of 4 miles per hour while LeRoy bails water out of the boat.
What is the slowest rate in gallons per minute, at which LeRoy can bail water out of the boat if they are to reach the shore without sinking?

Please show all work.

If the water comes in at 10 gallons/min, then the boat will sink in 3 mins.

They are 1 mile away from shore, so it will take 15 mins to get to shore.

If it takes 15 mins to get to shore, then you can't have the boat take on any more than 2 gallons/min (Because 2x15 = 30).

So LeRoy will have to remove water at the rate of 8 gallons/min.
• Jan 10th 2010, 09:13 PM
Masterthief1324
Quote:

Originally Posted by Prove It
If the water comes in at 10 gallons/min, then the boat will sink in 3 mins.

They are 1 mile away from shore, so it will take 15 mins to get to shore.

If it takes 15 mins to get to shore, then you can't have the boat take on any more than 2 gallons/min (Because 2x15 = 30).

So LeRoy will have to remove water at the rate of 8 gallons/min.

Can you represent the problem with an equation? I'm really interested and would like to know. (via private message)
• Jan 10th 2010, 09:21 PM
kristin2700
Quote:

Originally Posted by Masterthief1324
Can you represent the problem with an equation? I'm really interested and would like to know. (via private message)

Can you please represent the problem with an equation on this thread?
I want to be able to show the work :)
• Jan 11th 2010, 04:05 AM
mr fantastic
Quote:

Originally Posted by kristin2700
Can you please represent the problem with an equation on this thread?
I want to be able to show the work :)

Post #2 contains a perfectly good solution. The logic leading to the answer is the 'working'. I suggest you review it and make an effort to understand it.