Final answer:
The Leakeys discovered H. habilis and Jane Goodall began her study of chimpanzees both in the year 1960 (option b).
Step-by-step explanation:
The Leakeys, Louis and Mary, discovered the first fossils of Homo habilis, a significant early human ancestor, which they found at Olduvai Gorge in 1960. This discovery was published and described in detail by 1964. Around the same period, more precisely in 1960, primate expert Jane Goodall began her groundbreaking study of chimpanzees, which included her observations of them using tools. Therefore, to answer the student's question, the Leakeys found H. habilis, and Goodall started her study of chimpanzees in the year 1960, corresponding to option b. 1960.