Answer:
Tom can dig 12 holes in 36 hours.
Explanation:
Tom and Di ck dig 3 holes in 6 hours.
Tom works twice as fast as Di ck, so it is as if Tom is the same as 2 people at Di cks's speed and Di ck is as if it is 1 person at Di ck's speed. This means it is as if there are 3 people working at Di ck's speed.
Di ck working alone can dig 1 hole is 6 hours.
Tom can dig 2 holes in 6 hours.
Tom can dig 12 holes in 36 hours.