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defon
3 years ago
12

The temperature of the furnace is 1200 and cool at a rate of 15 per minute the temperature of another furnace is 900 and is heat

at a rate of 5 per minutes after how many minutes will the furnace be at the same temperature
Mathematics
1 answer:
Hunter-Best [27]3 years ago
6 0

Answer:

After 15 minutes, the temperature of both the furnaces will be same.

Step-by-step explanation:

Let x be the minutes when the temperature of both becomes same.

Now, as per question:

Temperature of the furnace after x minutes that is cooling at the rate of 15 degree per minute is given as:

T=1200-15x

Temperature of the furnace after x minutes that is heating at the rate of 5 degree per minute is given as:

T=900+5x

Now, equating both the temperatures, we get

1200-15x=900+5x\\1200-900=15x+5x\\300=20x\\x=\frac{300}{20}=15\ min

Therefore, after 15 minutes, the temperature of both the furnaces will be same.

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