Subjects algebra

Flight Time Exchange 08B609

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1. **Problem (b):** Calculate the time taken for a flight from Dublin to New York that covers 5112 km at an average speed of 818 km/h. 2. **Formula:** Time = Distance \div Speed 3. **Calculation:** $$\text{Time} = \frac{5112}{818}$$ 4. Simplify the fraction: $$\text{Time} = \frac{\cancel{5112}}{\cancel{818}} = 6.247 \text{ hours (approx)}$$ 5. Convert decimal hours to hours and minutes: - Hours = 6 - Minutes = 0.247 \times 60 = 14.82 \approx 15 \text{ minutes} 6. **Answer for (b):** The flight took approximately 6 hours and 15 minutes. 7. **Problem (c):** Convert 750 US dollars to euros given the exchange rate €1 = $1.06. 8. **Formula:** Euros = Dollars \div Exchange Rate 9. **Calculation:** $$\text{Euros} = \frac{750}{1.06}$$ 10. Simplify the fraction: $$\text{Euros} = \frac{\cancel{750}}{\cancel{1.06}} = 707.55 \text{ euros (approx)}$$ 11. **Answer for (c):** The passenger receives approximately 707.55 euros.