What is a common time period for LPs to have transferred the capital call amount after the call is made by the GP? Meaning cash is on the fund’s bank account.

This really depends on the general profile of a particular fund's limited partners - most of the time Limited Partnership Agreements provide 15 days from receiving a capital call for the Limited Partner to wire in the requested amount. If the timing starts to slip, it may indicate a liquidity issue with a particular limited partner, and the fund manager may need to have a conversation to figure out what is going on.