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 the temperature be 8°C below zero? What would be the temperature at mid-night? In a class test (+ 3)
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pls answer quick with proper explanation no shortcuts
who will answer i will follow , thanks and mark him as brainlist
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Answer: while it reach 8°C below zero the time will be taken is nine hours 9 hr
Verified answer
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the temperature at mid night will be 14°C below 0.
Step-by-step explanation:
(i) The temperature at 12 noon = 10°C (given)
(i) The temperature at 12 noon = 10°C (given)The temperature decreases by 2°C in 1 hour (given)
(i) The temperature at 12 noon = 10°C (given)The temperature decreases by 2°C in 1 hour (given)Thus, the temperature decreases by 1°C in 1/2 hour
(i) The temperature at 12 noon = 10°C (given)The temperature decreases by 2°C in 1 hour (given)Thus, the temperature decreases by 1°C in 1/2 hourTemperature 10°C above zero - Temperature 8°C below zero
= 10 - (- 8) = 10 + 8
= 18°C
= 18°CThe temperature decreases by 18°C in 1/2 × 18
= 9 hours
= 9 hoursThus, from 10°C above zero to 8°C below zero it takes 9 hours
Total time
= 12 noon + 9 hours
= 12 noon + 9 hours= 21 hours = 9 pm
= 12 noon + 9 hours= 21 hours = 9 pmThus, at 9 pm temperature would be 8°C below zero.
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(ii) The temperature at 12 noon = 10°C
(ii) The temperature at 12 noon = 10°CThe temperature decreases by 2°C every hour
(ii) The temperature at 12 noon = 10°CThe temperature decreases by 2°C every hourThe temperature decrease in 12 hours = - 2°C × 12 = - 24°C
(ii) The temperature at 12 noon = 10°CThe temperature decreases by 2°C every hourThe temperature decrease in 12 hours = - 2°C × 12 = - 24°CAt midnight, the temperature will be = 10°C + (-24°C)
= -14 °C
Therefore, the temperature at mid night will be 14°C below 0.
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