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Svetradugi [14.3K]
4 years ago
12

Solve each of the following:

Mathematics
1 answer:
insens350 [35]4 years ago
3 0
1. 1/8 2. 1/12 3. 2 and 11/12. 4. 2 and 7/8. 5. 1/3
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a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a
rusak2 [61]

Answer:

  • 5 km/h or 6 km/h

Step-by-step explanation:

  • Let the speed of the boat be x
  • Speed against the current in the river is x - 2

<u>Time in the river:</u>

  • 6/(x - 2)

<u>Time in the lake:</u>

  • 15/x

<u>The difference:</u>

  • 6/(x - 2) = 15/x - 1

Solve for x to find the speed of the boat

<u>Multiply both sides by x(x - 2) to clear the fraction:</u>

  • 6x = 15(x - 2) - x(x - 2)
  • 6x = 15x - 30 - x² + 2x
  • x² - 11x + 30 = 0
  • (x - 5)(x - 6) =0
  • x -5 = 0, x - 6 = 0
  • x = 5 km/h, x = 6 km/h
4 0
3 years ago
Read 2 more answers
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