Senior+Challenge+One


 * Here are some extensions to the Times Up problem we tackled during the Australian Maths Challenge. Use what you learnt to solve these tricky problems.

Goodluck **


 * __Time Up:__

On Wednesday 7 July sleepy Sally got up at 7:00am and went to bed at 9:00pm. Each day after that she got up a minute later and went to bed a minute earlier. On 7 July, Sally's brother David got up at 9:21 am and went to bed at 11:45pm.

1. How long was each person up //alone// on 7th July?

2. On what //date// was Sally up for the same amount of time she was in bed? On that date, what times did she get up and go to bed?

3: On each day after 7 July, David got up 2 minutes earlier but went to bed at the same time. On what date did Sally and David get up at the same time?**

Share your solution with us on the discussion page.