The schedule of visits of three specialist doctors A, B, and C in a week at a corporate hospital is given below:
\[
A:\text{ Monday to Saturday }(6:00\text{ am to }10:00\text{ am})
\]
\[
B:\text{ Tuesday and Friday }(8:00\text{ am to }9:00\text{ am})
\]
\[
C:\text{ Wednesday and Friday }(8:00\text{ am to }11:00\text{ am})
\]
What is the day and time when all three doctors are available?
Show Hint
For schedule problems, first find the common day and then determine the overlapping time interval.
Step 1: Find common days.
Doctor B is available:
\[
\text{Tuesday and Friday}
\]
Doctor C is available:
\[
\text{Wednesday and Friday}
\]
Common day:
\[
\text{Friday}
\]
Step 2: Find common timing on Friday.
Doctor A:
\[
6:00\text{ am to }10:00\text{ am}
\]
Doctor B:
\[
8:00\text{ am to }9:00\text{ am}
\]
Doctor C:
\[
8:00\text{ am to }11:00\text{ am}
\]
Common interval:
\[
8:00\text{ am to }9:00\text{ am}
\]
Hence all three doctors are available on
\[
\boxed{\text{Friday 8:00 am to 9:00 am}}
\]