Q.24 The temperature at 12 noon was 10°C above zero. If it decreases at the rate of 2°C per hour until mid-night at what time would the temperature be 8°C below zero? What would be the temperature at mid-night?
Answers
at 10pm temperature will be 8⁰C below zero
at 12am the temperature will be 11⁰C
Answer:
-14 degree
Step-by-step explanation:
The temperature at 12 noon = 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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