Lima is 8 hours behind Cairo
Best overlap: 4:00 PM to 6:00 PM in Cairo is 8:00 AM to 10:00 AM in Lima.
Book within 4:00 PM to 6:00 PM Cairo time (8:00 AM to 10:00 AM in Lima) and both teams will be at work. Lima is 8 hours behind Cairo, so common hours are scarce (about 2 hours). Lock the slot, keep it short, and follow up in writing. For part of the year the maths changes: Cairo observes daylight saving, Lima does not, shifting the overlap by an hour.