5. Apollo traveled 54 leagues in 3 days. Then he tripled his rate. How long would it take him to travel 594 leagues at this new speed?

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- First, determine Apollo's initial rate of travel. He traveled $$54$$ leagues in $$3$$ days, so his speed was:
  
  $$
  \frac{54}{3} = 18 \text{ leagues per day}
  $$

- Next, he tripled his original speed. Therefore, his new speed becomes:

$$
  18 \times 3 = 54 \text{ leagues per day}
  $$

- Finally, to find the time needed to travel $$594$$ leagues at the new speed, divide the total distance by his new speed:

$$
  \frac{594}{54} = 11 \text{ days}
  $$

Thus, it would take him $$11$$ days to travel $$594$$ leagues at his new speed.
It would take Apollo 11 days to travel 594 leagues at his new speed.

5. Apollo traveled 54 leagues in 3 days. Then he tripled his rate. How long would it take him to travel 594 leagues at this new speed?

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