Hint
How many minutes are there between 2:00 and 7:00?
Answer
65 minutes.
Reasoning
We need to break down the five hours in the following way:
3 x Answer minutes past two o'clock40 minutesAnswer minutes before seven o'clock
Why? It is now Answer minutes before seven o'clock, and then we have the 40 minutes before that, and the remaining time was 3 x Answer minutes past two o'clock.
So, five hours = 5 x 60 = 300 minutes. We already know about the 40 minutes, so we have to share the remaining 260 minutes in the ratio 3:1, which gives 195:65 minutes. Or using algebra 4 x Answer = 300 − 40, so Answer = 65 minutes.
Therefore, the five hours is made up of:
195 minutes past two o'clock40 minutes65 minutes before seven o'clock
So, it's currently 65 minutes before 7:00 = 5:55.
Double-Checking
It is now 65 minutes before seven o'clock = 5:55, so 40 minutes ago it was 5:15, which is 195 minutes after 2:00 as required (as 65 x 3 = 195).
During an exciting weekend of paintball, four friends were having great fun.
The paintballs came in blue, green, yellow, and red.
Coincidentally, the four friends had T-shirts in those same colours.
Billie used blue paintballs. The person in the green T-shirt used yellow paintballs. Charlie was not wearing a red T-shirt. Drew used green paintballs and wore a blue T-shirt. Alex was the only person who used paint which was the same colour as their T-shirt.
Can you tell which colour paint they each used and the colour of their respective T-shirts?
Hint
Start by using clues (1) and (4), and then look at clues (5) and (2) to find who wore the green T-shirt.
Answer Wore Paint
Alex red red
Billie yellow blue
Charlie green yellow
Drew blue green
Reasoning
By (1), Billie used Blue paintballs: Wore Paint
Alex
Billie blue
Charlie
Drew
By (4), Drew used Green paintballs and wore a Blue T-shirt: Wore Paint
Alex
Billie blue
Charlie
Drew blue green
By (5), Alex was the only person who used paint that was the same colour as their T-shirt, which means by (2) that Charlie wore the Green T-shirt and used Yellow paintballs: Wore Paint
Alex
Billie blue
Charlie green yellow
Drew blue green
This leaves Alex with the Red paintballs, and by (1), the Red T-shirt. Wore Paint
Alex red red
Billie blue
Charlie green yellow
Drew blue green
Leaving Billie wearing Yellow. Wore Paint
Alex red red
Billie yellow blue
Charlie green yellow
Drew blue green
