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

Answer:After 15 minutes, the temperature of both the furnaces will be same.Step-by-step explanation:Let [tex]x[/tex] be the minutes when the temperature of both becomes same.Now, as per question:Temperature of the furnace after [tex]x[/tex] minutes that is cooling at the rate of 15 degree per minute is given as:[tex]T=1200-15x[/tex]Temperature of the furnace after [tex]x[/tex] minutes that is heating at the rate of 5 degree per minute is given as:[tex]T=900+5x[/tex]Now, equating both the temperatures, we get[tex]1200-15x=900+5x\\1200-900=15x+5x\\300=20x\\x=\frac{300}{20}=15\ min[/tex]Therefore, after 15 minutes, the temperature of both the furnaces will be same.