Question
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?
Ask by Nguyen Best. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
It would take Apollo 11 days to travel 594 leagues at his new speed.
Solution
- 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.
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Simplify this solution The Deep Dive
Apollo's initial speed is calculated as follows: he traveled 54 leagues in 3 days, which means his speed was 18 leagues per day (54 leagues ÷ 3 days). After tripling his rate, he would be traveling at 54 leagues per day (18 leagues per day × 3). Now, to find out how long it takes him to travel 594 leagues at his new speed, we divide 594 leagues by 54 leagues per day. Calculating this gives us 11 days (594 ÷ 54). So, it would take Apollo 11 days to travel 594 leagues at his new speed.
