The temperature at 12 noon is 100°c. If the temperature decreases at the rate of 20°c per hour, what will the temperature be at 8 pm?
Answers
Answer:
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
The 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
Thus, at 9 pm temperature would be 8°C below zero.
Later,
The temperature at 12 noon = 10°C
The temperature decreases by 2°C every hour
The temperature decrease in 12 hours = – 2°C × 12 = – 24°C
At midnight, the temperature will be = 10°C + (-24°C) = -14 °C
Therefore, the temperature at mid night will be 14°C below 0.
So, at 12 midnight the temperature will be – 14° C.
The decrease in rate of temperature is = 20°C per hr.
So, for 8 hr is the temperature will be = ( 20 × 8 )
= 160°C.
Now, we have to find the temperature at 8 p.m.
- So, temperature in 8p.m = ( Original Temperature – Decreased Temperature )°C.
- Original Temperature is 100°C, Decreased Temperature is 160°C.
- Now, ( 100 – 160 )°C = – 60°C.
So, The temperature at 8 p.m. is = – 60°C. This is yours required answer. Hope you like my answer. Thanks for asking the question. Once again welcome in Brainly.
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