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Christopher, Samuel, and Olivia watched television on Monday and Tuesday. On Monday they started watching at 8:00 p.m. and on Tuesday they started watching at 7:30 p.m. Their mother kept track of the time they each stopped watching. 
On Monday the times they stopped watching TV were: 9:25 p.m., 10:15 p.m., and 9:45 p.m.
On Tuesday the times they stopped watching TV were: 8:50 p.m., 10:10 p.m., and 10:10 p.m.

Figure out how long each person watched TV on Monday and Tuesday.

 

1.  Samuel watched less TV on Monday. Samuel only spent 21/32 as much time watching TV on Monday as he did on Tuesday.
 

2.  Olivia watched TV for two and two-third hours on Tuesday.
 

3.  Christopher watched less TV on Tuesday. Christopher only spent 16/17 as much time watching TV on Tuesday as he did on Monday.

 Feb 3, 2022
 #1
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Monday : 85 minutes    135 minutes    105 minutes
Tuesday : 80 minutes    160 minutes    160 minutes

Olivia : Tuesday : 2 * 60 + 2/3 * 60 = 160 minutes

Samuel : Tuesday : 160 minutes

               Monday : 21/32 * 160 = 105 minutes

Christopher : Tuesday : 80 minutes

                      Monday : 80 / 16/17 = 85 minutes

Olivia : Monday : 135 minutes

 Feb 8, 2022
 #2
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Olivia watched 2 2/3 hours on Tuesday

        7:30 + 2:40 = 10:10

So Olivia stopped watching TV on Tues at 10:10 pm

if Christopher ended at 10:10 pm on Thursday:

   2 2/3 hours = 160 minutes        160 / 16/17 = 160 * 17/16 = 170 minutes

   Monday : 8:00 + 2:50 = 10:50 pm, it's obviously wrong.

 

So he ended at 8:50 pm on Tuesday.  8:50 - 7:30 = 80

       80 / 16/17 = 80 * 17/16 = 85 (minutes)

       Monday : 8:00 + 1:25 = 9:25 pm --> right.

So Samuel ended at 10:10 pm on Tuesday.

       160 * 21/32 = 105 minutes.

       Monday : 8:00 + 1:45 = 9:45 pm --> right.

 

      So Olivia stopped watching TV on Monday is

                           10:15 pm.

            10:15 - 8:00 = 2:15 = 135 minutes.

 Feb 8, 2022

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