Firstly it is important to look at all the information's that are given in the question. Based on those information's the answer to the question can be easily deduced.
In 1/3 second the quantity of spices ground by the machine = 2/7 pound
In 1 second the quantity of spices ground by the machine = (2/7)/(1/3) pound
= (2/7) * 3 pound
= 6/7 pound
So the rate at which the machine grinds spices is 6/7 pounds per second.I hope the procedure of doing this problem is clear to you and the answer has been correctly deduced. Just be careful while dividing the numbers (2/7) and (1/3). Then there is no issue with this question. I hoped to have come to your help.