Final answer:
The two dishwashers working together, with rates of 14 and 10 plates per minute respectively, would take 65 minutes to wash 1,560 plates.
Step-by-step explanation:
The student's question concerns the combined work rate of two dishwashers working together to wash a total number of plates. First, find the total plates washed per minute by both dishwashers: one can wash 14 plates per minute and the other 10 plates per minute, giving a combined rate of 24 plates per minute. Then, to find the time they would take to wash 1,560 plates, divide the total number of plates by the combined washing rate:
Calculate the combined plates washed per minute: 14 + 10 = 24 plates per minute.
Divide the total number of plates by the combined rate: 1560 รท 24 = 65 minutes.
Therefore, working together, the two dishwashers would need 65 minutes to wash 1,560 plates.