To solve this, we first need to find the rate per hour or per day, then calculate how many days or hours would yield $300.

Step 1: Calculate Total Hours

Since there are 2 days and 10 hours:

• $2 \text{ days} = 2 \times 24 = 48 \text{ hours}$
• Adding 10 hours gives us $48 + 10 = 58 \text{ hours}$

Step 2: Find Rate per Hour

Given that 58 hours corresponds to $618, the rate per hour is: $\text{Rate per hour} = \frac{618}{58} = 10.65517 \approx 10.66 \text{ dollars per hour}$

Step 3: Calculate Hours Needed for $300

Now, we want to find how many hours, $x$, would yield $300: $10.66 \times x = 300$ $x = \frac{300}{10.66} \approx 28.14 \text{ hours}$

Step 4: Convert Hours to Days and Hours

28.14 hours is approximately:

• $1 \text{ day} = 24 \text{ hours}$
• $28.14 \text{ hours} = 1 \text{ day and } (28.14 - 24) = 4.14 \text{ hours}$

Conclusion

To earn $300, it would take approximately 1 day and 4.14 hours or 28.14 hours.

Would you like further details on any steps, or have other questions?

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1. How would you solve for different amounts of money?
2. What if the rate per day or per hour changes?
3. Can you use this method to compare multiple rates?
4. How do you convert between hours and days accurately?
5. How do small rounding differences affect the total time?

Tip: Always double-check units when converting between days and hours to maintain accuracy.