Question

The temperature at 12 noon was 10 o c above zero. If it decreases at the rate of 2 o c per hour until midnight, at what time would the temperature be 8 o c below zero? What would be the temperature at midnight?

Answer 1

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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Answer 2

Solution : Temperature at 12 Noon = 10°C above 0°C = 10°C

              It decreases at 2° per hour.

Final temperature = 8°C below 0 = -8°C

Change in temperature = 10 - ( -8 ) = 18°C.

Rate of decrease = 2° per hour.

Time = 18 / 2 = 9 hours.

So, Time at which temperature would be 8°C below zero = 12:00 + 9:00 = 21:00

                  So, the time at which temperature goes 8°C below 0 is 9:00 PM.

Also, The temperature at 12 :00 PM = 10° C, As temperature decreases at 2°C,

Temperature at mid night = 10° C - 2 ( 12 ) = 10 - 24 = -14° C.

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