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Answer: 2 pm
12 noon: 2 hours 55 minutes = 175 minutes
1 o'clock: 1 hour 15 minutes = 75 minutes
They travel 100 sign-minutes in 1 hour
So they will travel the remaining 75 sign-minutes in $\frac34$ hour = 45 minutes
They set off after lunch at 1:15 and arrive 45 minutes later at 2.
Walking in the Mountains
Age 14 to 16
ShortChallenge Level 
Answer: 2 pm
12 noon: 2 hours 55 minutes = 175 minutes
1 o'clock: 1 hour 15 minutes = 75 minutes
They travel 100 sign-minutes in 1 hour
So they will travel the remaining 75 sign-minutes in $\frac34$ hour = 45 minutes
They set off after lunch at 1:15 and arrive 45 minutes later at 2.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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