the temperature at 12 noon was 10°C above zero. If it decreases at the rate of 2°C per hour until midnight, at what time would be the temperature be 8°C below zero? What would be the temperature at midnight.
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Answers
Correct option is
B
−14
o
C
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
=12noon+9hours
So, The time at which the temperature will be −8°C=9PM
At 9 PM, the temperature is −8°C, the temperature at 12 midnight will be =
(−8°C)+(−2°C×3hours)
=(−8°C)+(−6°C)
=−14°C
So, at 12 midnight the temperature will be−14°C.
Answer:
The temperature at 12 noon was 10°C
and the temperature decreases at the rate of 2°C per hour until midnight
so, for every hour the temperature is decreasing by 2°C
So, at 1 pm, the temperature would be 10°C - 2°C = 8°C
At 2 pm, the temperature would be 8°C - 2°C = 6°C
At 3 pm, the temperature would be 6°C - 2°C = 4°C
At 4 pm, the temperature would be 4°C - 2°C = 2°C
At 5 pm, the temperature would be 2°C - 2°C = 0°C
At 6 pm, the temperature would be 0°C - 2°C = -2°C
At 7 pm, the temperature would be -2°C - 2°C = -4°C
At 8 pm, the temperature would be -4°C - 2°C = -6°C
At 9 pm, the temperature would be -6°C - 2°C = -8°C
At 10 pm, the temperature would be -8°C - 2°C = -10°C
At 11 pm, the temperature would be -10°C - 2°C = -12°C
At 12 midnight, the temperature would be -12°C - 2°C = -14°C
Hence the temperature would be 8°C below zero at 9 pm, and
the temperature at midnight will be 14°C below zero.
Step-by-step explanation: