Walking in the mountains

Heidi and Peter pass two signs which say how far their destination is. How long will it take them to get there?
Age
14 to 16
Challenge level
filled star filled star empty star
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



Heidi and Peter went for a mountain walk from Obersee to Salzbau. They left Obersee at 12 noon and the sign there said that Salzbau was 2 hours and 55 minutes away.

At one o'clock they sat down for lunch under another sign which said that Salzbau was now only 1 hour and 15 minutes away.

After stopping for 15 minutes for lunch, they continued their walk at the same speed as before without any further breaks.

At what time did they reach Salzbau?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.