A cable television station runs a marathon broadcasting 11 hours of program A, immediately followed by 11 hours of program B, immediatly followed by 11 hours of C. If the first episode of program A begins at 8pm. What time does the last episode of program C end?

Respuesta :

Answer:

2 am

Step-by-step explanation:

We are told in the question that:

A cable television station runs a marathon broadcasting 11 hours of program A, immediately followed by 11 hours of program B, immediatly followed by 11 hours of C. If the first episode of program A begins at 8pm. What time does the last episode of program C end?

Program A

8pm + 11 hours = 6am

Program A ends by 6am

Program B

Starts by 6 am

6am + 11 hours = 4 pm

Program B ends by 4 pm

Program C

Starts by 4 pm

4 pm + 11 hours = 2am

Program C ends by 2 am

Answer:

[tex]End\ Time = 4am[/tex]

Step-by-step explanation:

Given

[tex]Start\ Time = 8pm[/tex]

[tex]A = 11\ hours[/tex]

[tex]B = 11\ hours[/tex]

[tex]C = 11\ hours[/tex]

Required

Determine when the last episode of C ends.

This is calculated as thus;

[tex]End\ Time = Start\ Time + A + B + C[/tex]

[tex]End\ Time = 8pm + 11\ hours + 11\ hours + 11\ hours[/tex]

[tex]End\ Time = 8pm + 33\ hours[/tex]

Split 33 hours into 24 hours + 9 hours

[tex]End\ Time = 8pm + 24\ hours + 9\ hours[/tex]

24 hours after a certain time equas the same time on a different day:

[tex]End\ Time = 8pm + 9\ hours[/tex]

9 hours after 8pm is 4am

Hence:

[tex]End\ Time = 4am[/tex]