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While evan and sam are fishing 12kms from shore, their boat springs a leak, and water comes in at a constant rate of 3 gallons per minute. Same starts rowing towards the shore at a constant rate of 24kms per hour while evan bails water out of the boat. What is the slowest rate, in gallons per minute, at which evan can bail if they are to reach the shore with out sinking?

Respuesta :

Lanuel

Based on the calculations, the slowest rate is equal to 4 gallons per minute.

Given the following data:

  • Distance from shore = 12 km.
  • In-rate = 3 gallons per minute.
  • Rowing rate = 24 km per hour.

How to calculate the slowest rate.

Let's assume the boat would sink if it takes in more than 20 gallons of water.

Conversion:

  • 24 km/h to km/min = [tex]\frac{24 }{60}[/tex] = 0.4 km/min.

Translating the word problem into an algebraic expression, we have;

[tex]\frac{12}{0.4} \times 3 - \frac{12}{0.4} \times x\geq 30\\\\\frac{36}{0.4}-\frac{12x}{0.4} \geq 30\\\\90-\frac{12x}{0.4} \geq 30\\\\\frac{12x}{0.4} \geq90+30\\\\\frac{12x}{0.4} \geq120\\\\12x \geq120 \times 0.4\\\\12x \geq 48\\\\x\geq 4[/tex]

Therefore, the slowest rate is equal to 4 gallons per minute.

Read more on distance here: brainly.com/question/10545161

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