Is it true that the labor process goes by faster when induced?

No. This depends on a lot of factors, including the reason for induction. If the cervix is not "favorable" or not close to labor, different medications may be used to help soften it & get the contractions started. This can be a long process, depending on issues such as how many babies you have had & how far along in your pregnancy you are. If you are past your due date, it just helps to get started.