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Calculate the difference in longitude between Town B and Town A.

Geography

ScanSolve AI Answer

Answer

8:40 am\text{8:40 am}

Step-by-step solution

3 steps

1. Time Calculation

  1. Calculate the difference in longitude between Town B and Town A.

    Town B is at 40∘40^\circ E.
    Town A is at 20∘20^\circ E.
    Since both are in the East, subtract the longitudes.

    Longitude difference=40∘ E−20∘ E=20∘\text{Longitude difference} = 40^\circ \text{ E} - 20^\circ \text{ E} = 20^\circ
  2. Convert the longitude difference into a time difference.

    The Earth rotates 1∘1^\circ in 4 minutes.

    Time difference=20∘×4 minutes/degree=80 minutes\text{Time difference} = 20^\circ \times 4 \text{ minutes/degree} = 80 \text{ minutes} 80 minutes=1 hour and 20 minutes80 \text{ minutes} = 1 \text{ hour and } 20 \text{ minutes}
  3. Determine the time at Town A.

    Town A (20∘20^\circ E) is west of Town B (40∘40^\circ E). Locations to the west have an earlier time.
    Time at Town B is 10:00 am.

    Time at Town A=10:00 am−1 hour 20 minutes\text{Time at Town A} = 10:00 \text{ am} - 1 \text{ hour } 20 \text{ minutes} Time at Town A=8:40 am\text{Time at Town A} = 8:40 \text{ am}

    The time at Town A is 8:40 am\boxed{\text{8:40 am}}.

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