a fooball match between country A on longitude (150 degree E)and country B,logitude(450 degree W) to start in country B at 4:00pm local time calculate the time citizen of country B should time in their radio to listen to match commentary show all your working clearly
To calculate the time citizens of country B should tune in to their radios to listen to the match commentary, we need to account for the time difference between the two countries.
1. Start by converting the longitudes to a common reference point. Since both longitude measurements are given in degrees, we can convert them to a common unit of hours.
- Longitude 150°E is located in country A. Since 1 hour corresponds to 15 degrees of longitude, 150°E would be 10 hours ahead of the reference point (0° or Prime Meridian).
- Longitude 450°W is located in country B. Similarly, 450°W would be 30 hours behind the reference point (0° or Prime Meridian).
Therefore, the time difference between country A and country B is 40 hours (10 hours + 30 hours).
2. Determine the local time in country B when the match starts. The match starts at 4:00 pm local time in country B.
3. Add the time difference between the two countries to the match start time in country B to find the corresponding time in country A.
- 4:00 pm + 40 hours = 44:00 pm (since there are 24 hours in a day, we convert it to 20:00 or 8:00 pm the next day)
So, the match starts in country A at 8:00 pm local time.
4. To find the time citizens of country B should tune in to their radios, subtract the time difference (40 hours) from the match start time in country A.
- 8:00 pm - 40 hours = -32:00 pm (or -8:00 am the previous day)
- Since a negative time doesn't make sense, we add 24 hours to make it a valid time.
- -8:00 am + 24 hours = 16:00 pm
Therefore, citizens of country B should tune in to their radios at 4:00 pm to listen to the match commentary.
Note: It's important to consider daylight saving time adjustments if applicable in each country, as they might affect the time calculations.