the temperature at 12 noon was 10 degree Celsius above zero if it decreases at the rate of two degree Celsius per hour until midnight at what time it would be the temperature 8 degree Celsius below zero what would be the temperature at midnight ?
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Solution :-
At 12 noon, the temperature = 10° C above zero
The temperature is decreasing at 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 one hour.
Therefore, to decrease 18° C, time taken = 18/2
= 9 hours
Present time is 12 noon so, the time when the temperature is - 8° C
= 12 noon + 9 hours
So, The time at which the temperature will be - 8° C = 9 PM
At 9 PM, the temperature is - 8° C, the temperature at 12 midnight will be =
(- 8° C) + (- 2° C × 3 hours)
= (- 8° C) + (- 6° C)
= - 14° C
So, at 12 midnight the temperature will be - 14° C.
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