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MathNet 2006 — Part 03 Question 25

Math Olympiad Vault · MathNet 2006 — Part 03

Question 25

The coffee, the cake and the cat - Ten minutes before putting the cake in the oven, I put my cat outside the house. The cake should cook for 35 minutes, so I set the alarm clock for 35 minutes after putting the cake in the oven. I immediately made myself a coffee, which took me 6 minutes. Three minutes before finishing the coffee, the cat came into the house. This was 5 minutes before the alarm clock went off. The phone rang halfway between me finishing making coffee and the cat coming into the house. I spoke on the phone for 5 minutes and hung up. It was 3:59 in the afternoon.


a) What time did I put the cat out of the house?

b) How many minutes after you put the cat out of the house did the alarm clock go off?

c) How long had the cat been away from home before the phone rang?