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The temperature at 12 noon was 10 c above zero . If it decreases at the rate of 2 c per hour unit midnight at what time temperature be 8 c below zero ? what would be the temperature at midnight?
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The temperature at 12 noon was 10 c above zero . If it decreases at th...
Initial Temperature
At 12 noon, the temperature is:
- 10°C above zero.
Temperature Decrease Rate
The temperature decreases at a rate of:
- 2°C per hour.
Time Calculation for Temperature Drop
We need to find out when the temperature reaches:
- 8°C below zero (which is equivalent to -8°C).
Temperature Change Needed
To find the total change in temperature:
- Start from 10°C above zero.
- To reach -8°C, the change needed is:
10°C + 8°C = 18°C.
Hours Required for Temperature Change
Now, calculate the number of hours required to decrease the temperature by 18°C:
- At a rate of 2°C per hour:
18°C ÷ 2°C/hour = 9 hours.
Time Calculation
Since the temperature starts decreasing from 12 noon:
- 12 noon + 9 hours = 9 PM.
Thus, the temperature will reach -8°C at 9 PM.
Temperature at Midnight
To find the temperature at midnight (12 AM), we need to calculate the temperature drop from 9 PM to midnight:
- From 9 PM to midnight = 3 hours.
- Temperature drop in 3 hours = 3 hours × 2°C/hour = 6°C.
Final Temperature at Midnight
Starting from -8°C at 9 PM, the temperature will be:
- -8°C - 6°C = -14°C.
Summary
- Temperature at 9 PM: -8°C.
- Temperature at midnight: -14°C.
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The temperature at 12 noon was 10 c above zero . If it decreases at the rate of 2 c per hour unit midnight at what time temperature be 8 c below zero ? what would be the temperature at midnight?
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