The overnight handover
Four of our teams cover a critical client service. Their shifts, in UTC, are:
| Team | Shift (UTC) |
|---|---|
| Manila | 00:00–09:00 |
| Mumbai | 03:30–12:30 |
| London | 08:00–17:00 |
| New York | 13:00–22:00 |
- Is the service covered 24 hours a day? If not, when is it uncovered?
- A handover needs at least 30 minutes when both teams are on shift. Which handovers work, and which one doesn’t?
- Our Sydney office is on UTC+11 in October. What local shift there would close the gap?
Hint
Put all four shifts on a single 24-hour line in UTC and look for the hours nobody is on it. Then look at where neighbouring shifts overlap.
Worked solution
- Coverage runs continuously from 00:00 to 22:00 UTC: Manila to 09:00, Mumbai from 03:30, London from 08:00, New York from 13:00 until 22:00. Nobody covers 22:00–24:00 UTC, a two-hour gap every day.
- Manila–Mumbai overlap 03:30–09:00, Mumbai–London 08:00–12:30, London–New York 13:00–17:00: all long enough. New York to Manila has no overlap at all: New York leaves at 22:00 and Manila arrives at 00:00. That is the broken handover, and it sits exactly on the gap.
- 22:00 UTC is 09:00 in Sydney (UTC+11). A Sydney shift of about 08:30–17:30 local (21:30–06:30 UTC) covers the gap, overlaps New York by 30 minutes and Manila by six and a half hours, so both handovers work.
The point of the puzzle: a schedule can look complete team by team and still fail at the joins. Our handovers are formal briefings, which is why the overlap matters as much as the coverage.