Consider the following premises. For all x_1, if x_1 were a nurse, then x_1 is running. For all x_1, if x_1 makes tea, then x_1 is working. For all x_1, if x_1 goes running, then x_1 is working. There is at least one x_1 for which x_1 will make tea or x_1 is a nurse. Can we infer the following from them? There is at least one x_1 for which x_1 will work.
 From the fact that for all x_1, if x_1 were a nurse, then x_1 is running, and that for all x_1, if x_1 goes running, then x_1 is working we can infer that for all x_1, if x_1 were a nurse, then x_1 is working. Finally, from the fact that for all x_1, if x_1 makes tea, then x_1 is working, that for all x_1, if x_1 were a nurse, then x_1 is working, and that there is at least one x_1 for which x_1 will make tea or x_1 is a nurse we can infer that there is at least one x_1 for which x_1 will work. Therefore, the answer is yes.