The temperature at 12 noon was 10°C above zero . if it decrease at the rate of 2°C per hour until midnight . at what time would the temperature be 8°C below zero ? what would be the temperature at midnight
Answers
Temperature at 12 noon = 10°C above 0°C = 10°C
it decreases at 2°C per hour
Final temperature = 8°C below 0°C = -8°C
Change in temperature = 10-(-8) = 18°C
Rate of decrease is 2°C per hour
Time = 18/2 = 9hour
Ao time at which temperature would be 8°C below zero = 12:00 + 9:00 = 21:00
So time at which temperature goes 8°C below zero is 9:00 pm.
And temperature at 12:00 pm = 10°C , As temperature decreases at 2°C
So temperature at midnight = 10°C - 2(12) = 10 - 24 = -14°C.
⠀⠀⠀⠀ ❐ ...Given... ❐⠀ ⠀
The temperature at 12 noon = 10° C above...
It decreases at the rate of 12° C per hr until midnight...
⠀⠀⠀⠀ ⠀❐ ...To find... ❐⠀⠀
⠀⠀what time would the temperature be 8°C below zero...??
⠀ ⠀what would be the temperature at midnight...??⠀
⠀⠀⠀⠀ ⠀ ❐ ...SoLution... ❐⠀
⠀Let noon time be "t"... ⠀⠀
Then...
- ⠀T = 10 - 2t⠀
Now...
⠀We have to find the when the temperature will 8°C below zero...
- ⠀⠀⠀T = - 8
- ⠀ ⠀10 - 2t = - 8 _____ eq 1...
- ⠀ ⠀⠀2t = 18
- ⠀⠀⠀t = 18 / 2
- ⠀⠀ ⠀t = - 9
Therefore, the temperature will be 8° C at the
9 : 00 pm...⠀ ⠀⠀
To find temperature at midnight...
put values in equation 1...
- T = 12 : 00
- T = 12 - 2 ( 12 )
- T = 12 - 24
- T = - 14 ° C
Therefore, the temperature at mid night is - 14° C...