The correct answer is **B. 60p/q**.
Let's break down the problem step by step:
1. The machine e.g. a ceiling fan can produce *p* fan blades in an hour.
2. There are 60 minutes in an hour.
Now, we want to find out how many fan blades the machine like a ceiling fan can produce in *q* minutes.
To do this, we need to establish a ratio of time. Since the machine can produce *p* fan blades in 60 minutes (1 hour), it will produce *x* fan blades in *q* minutes.
We can set up a proportion:
*p fan blades / 60 minutes = x fan blades / q minutes*
Solving for *x* (the number of fan blades in *q* minutes):
*x = (p * q) / 60*
So, the machine can produce *pq/60* ceiling fan blades in *q* minutes. However, since we are looking for the number of fan blades per minute, we can simplify the expression by dividing both the numerator and the denominator by 60:
*x = (pq) / (60 * 60) = (pq) / 3600*
Recall that there are 60 minutes in an hour, so the correct answer is *pq/3600*. However, none of the options provided exactly match this expression. To find the most appropriate choice, we can simplify *pq/3600* further:
*pq/3600 = (pq) / (6 * 600) = (pq) / (2 * 3 * 600) = (pq) / (2 * 1800) = (pq) / 3600*
So, among the given choices, the most accurate answer is **B. 60p/q**, which is the same as *pq/3600* but expressed in a more simplified form.