Consider the following premises. If it is late, then Jessica is poor. If it is overcast, then Susan is a mechanic. If Jessica were poor, then it is overcast. Susan is not a mechanic. Can we infer the following from them? It is late.
 From the fact that if it is overcast, then Susan is a mechanic, and that Susan is not a mechanic we can infer that it is not overcast. From the fact that if it is late, then Jessica is poor, and that if Jessica were poor, then it is overcast we can infer that if it is late, then it is overcast. Finally, from the fact that if it is late, then it is overcast, and that it is not overcast we can infer that it is not late, which contradicts that It is late. Therefore, the answer is no.