To calculate the time and day that listeners will have to tune in for the commentary of the cricket match in different locations, we need to account for the time difference based on longitude.
The formula for calculating the time difference based on longitude is:
\[ \text{Time difference (in hours)} = \frac{\text{Longitude (degrees)}}{15} \]
This is because the Earth rotates 360 degrees in 24 hours, so it rotates 15 degrees per hour.
-
For Banjul, Gambia (Longitude 16° west):
- Local match time = 9:00 AM (GMT -1 hour because Gambia is on GMT)
For the calculation, we'll first identify that Gambia is at a UTC offset of -1.
-
(a) Boundary (Longitude 74° east):
- Calculate the time difference: \[ \text{Time difference} = \frac{74°}{15} \approx 4.93 \text{ (about 5 hours)} \]
- Since it's east, this is UTC +5.
Now we add this time difference to the 9:00 AM in Gambia (UTC -1):
- Banjul (9:00 AM) is at UTC -1
- Boundary (UTC +5) is 6 hours ahead of Banjul.
- Therefore, 9:00 AM + 6 hours = 3:00 PM.
The match starts at 3:00 PM on 26th June.
-
(b) Pittsburgh (Longitude 80° west):
- Calculate the time difference: \[ \text{Time difference} = \frac{80°}{15} \approx 5.33 \text{ (about 5 hours and 20 minutes)} \]
- Since it's west, this is UTC -5.
Now we subtract the time difference from the 9:00 AM in Gambia (UTC -1):
- Banjul (9:00 AM) is UTC -1
- Pittsburgh (UTC -5) is 4 hours behind Banjul.
- Therefore, 9:00 AM - 4 hours = 5:00 AM.
The match starts at 5:00 AM on 26th June.
Summary:
- For Boundary (74° east): 3:00 PM on 26th June
- For Pittsburgh (80° west): 5:00 AM on 26th June
5 answers