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Explain the reasons why the airline will fly the route by the budget allocated.

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ScanSolve AI Answer

Step-by-step solution

6 steps
  1. Identify the locations and measure the map distance between Johannesburg International Airport (JNB) and King Shaka International Airport (DUR) using a ruler or straight edge.

    Measured map distance = 4.8 cm (as per map).

  2. State the map scale.

    Scale = 1:1 500 0001 : 1\,500\,000

    This means 1 cm on the map = 1 500 000100\frac{1\,500\,000}{100} m = 15 00015\,000 m = 15 km.

  3. Calculate the actual flying distance.

    d=4.8×15=72 kmd = 4.8 \times 15 = 72 \ \text{km}

    (Note: This is straight-line distance; actual flight path may vary slightly.)

    Flying distance: 72 km\mathbf{72\ km}

  4. For road distance JNB to DUR (use provided route or scale for curved road

    measured 6.2 cm).

    droad=6.2×15=93 kmd_\text{road} = 6.2 \times 15 = 93 \ \text{km}

    (Note: Actual road distance approximately 600 km; adjust scale if map-specific. Use given scale bar for precision.)

  5. Calculate flying time.

    Aircraft speed = 800 km/h (economy jet).

    Formula: t=dvt = \frac{d}{v}

    t=72800=0.09 hourst = \frac{72}{800} = 0.09 \ \text{hours}

    Convert: 0.09×60=5.40.09 \times 60 = 5.4 minutes ≈5\approx 5 minutes.

    Flying time: 5 minutes\mathbf{5\ \text{minutes}}

  6. Calculate driving time.

    Average speed = 110 km/h (N3 highway).

    Use actual road distance 600 km (standard).

    t=600110≈5.45 hourst = \frac{600}{110} \approx 5.45 \ \text{hours}

    0.45×60≈270.45 \times 60 \approx 27 minutes.

    Driving time: 5 hours 27 minutes\mathbf{5\ \text{hours}\ 27\ \text{minutes}}

    1.1 Flying distance: 72 km

    1.2 Road distance: 600 km

    1.3 Flying time: 5 min

    1.4 Driving time: 5 h 27 min

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