Question

The temperature at 12 noon was 10⁰C above zero If it decreases at the rate of 2⁰c per hour until midnight, at what time would the temperature be 8⁰c below zero What would be the temperature at mid night​

Answer 1

Answer:

Answer. So, the time when temperature would be 8 degree celcius below zero= 9PM,the temperature at midnight (12AM) would be -14 degree celcius.

Answer 2

$\huge \colorbox{purple}{ANSWER}$

$\large \purple{Given:}$

The temperature at 12 noon was 10°C above zero. If it decreases at the rate of 2°C per hour until midnight..

$\large \purple{To \: find:}$

what time would the temperature be 8°C below zero

What would be the temperature at mid-night?

STEP BY STEP EXPLANATION:

CASE 1:

Change in temperature per hour = -2°C

Temperature at 1:00 PM = 10°C + (-2°C) = 8°C

Temperature at 2:00 PM = 8°C + (-2°C) = 6°C

Temperature at 3:00 PM = 6°C + (-2°C) = 4°C

Temperature at 4:00 PM = 4°C + (-2°C) = 2°C

Temperature at 5:00 PM = 2°C + (-2°C) = 0°C

Temperature at 6:00 PM = 0°C + (-2°C) = -2°C

Temperature at 7:00 PM = -2°C + (-2°C) = -4°C

Temperature at 8:00 PM = -4°C + (-2°C) = -6°C

Temperature at 9:00 PM = -6°C + (-2°C) = -8°C

∴ Therefore, the temperature will be 8°C below zero at 9:00 PM

CASE 2:

It will take 12 hours to be midnight 12:00 AM after 12:00 noon.

Change in temperature in 12 hours = -2°C x 12 = -24°C

At midnight, the temperature will be = 10 + (-24)

10 + (-24)= -14°C

∴ Therefore, the temperature at midnight will be 14°C below 0.

Hence verified !