thethe temperature at 12 noon was 10 degree Celsius about zero if it decreases at the rate of 2 degree Celsius per hour until midnight at which time today temperature of b.Ed degree Celsius below zero what would be the temperature at midnight
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Answer:
Since the temperature falls 2° C in every one hour. So, at 12 midnight the temperature will be – 14° C.
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QuesTion
- The temperature at 12 noon was 10°C above zero. If it decreases 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 ?
AnsweR
- Time, when temperature will be 8°C below zero = 9 PM
- Temperature at midnight = (-14)°C
Step By Step Explanation
Given
- Temperature at 12 noon = 10°C
- Rate of decrease in temperature = 2°C per hour
To Find
- At what time would the temperature be 8°C below zero?
- Temperature at midnight?
Solution
Temperature at 12 noon = 10°C above zero
Rate of decrease in temperature = 2°C per hour
8°C below zero = (-8)°C
So, total fall in temperature from 10°C to 0°C and from 0°C to -8°C = 18°C
Since the temperature falls 2°C in every hour .
Therefore, to decrease 18°C , time taken =
Present time is 12 noon,
So,
The time at which temperature will be -8°C = 9PM
If the temperature at 9 PM be (-8)°C, then the temperature at midnight be,
( -8°C ) + ( -2°C x 3 hours )
= (-14)°C
[we multiply it by 3 hours because difference between 12 noon and 9PM is 3 hours]
So, at 12 midnight the temperature be (-14)°C.
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