A restaurant has two pastry ovens. When both ovens are used, it takes about 3 hours to bake the bread needed for one day. When only the large oven is used, it takes about 4 hours to bake the bread for one day. Approximately how long would it take to bake the bread for one day if only the small oven were used?
Answer (3)
By understanding the rate at which each oven bakes the bread, we can calculate that it would take the small oven 12 hours to bake the bread for one day. ;
By determining the combined and individual rates of the large and both ovens, the small oven is calculated to work at a rate of 1/12 per hour, implying it would take approximately 12 hours to bake the bread for one day on its own.
To determine how long it would take the small oven alone to bake bread for one day, we can use the rates at which the large and both ovens together bake bread.
When both ovens are used, they complete the job in 3 hours, establishing a combined rate of 1/3 of the baking task per hour. If the large oven alone takes 4 hours, its rate is 1/4 per hour.
To find the rate of the small oven, we can subtract the rate of the large oven from the combined rate:
Rate of both ovens (large + small): 1/3 per hour
Rate of large oven: 1/4 per hour
Rate of small oven: rate of both ovens - rate of large oven
The rate of the small oven is 1/3 - 1/4 = 1/12 per hour. To find how long it would take for the small oven alone to do the task, we take the reciprocal of the rate of the small oven:
Time needed for the small oven: 1 / (1/12) = 12 hours.
Hence, it would take approximately 12 hours for the small oven to bake the bread needed for one day.
The small oven would take approximately 12 hours to bake the bread needed for one day. This was determined by calculating the individual rates of both the large and small ovens based on their combined productivity. The calculations show that the small oven operates at a rate of 1/12 of the task per hour, leading to a total time of 12 hours when used alone.
;
