Removing the financing condition also usually means removing the underwriting wait tied to it, since a lender's approval of the property and the buyer is what a financing condition exists to protect, and a cash buyer has no lender to satisfy.
A home inspection condition, typically $400 to $600, often still applies even in a cash deal, since a buyer paying outright has just as much reason to know the property's condition before removing conditions and committing.
The realistic timeline depends on how many of those conditions a specific buyer is willing to waive, not on cash alone. Get your hand-reviewed valuation from Joel Dyck.