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.
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
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.