Answer to Question #33706 in Calculus for Lucy

Question

Angela works at the local beach as a part of a surf patrol unit. During her patrol, she notices that an old lady is having difficulty in the surf. She estimates that the distance is approxiamtely 220 m along the beach and then 75 m out (in water) to the woman. Angela can run along the beach at a speed of 180 metres per minute and can swim at a speed of 80 metres per minute.

1. How long will it take her to reach the woman if she run the full 220 m on the beach and swim 75 m?

2. In hindsight, Angela thinks that it may be quicker to swim directly out to the woman in trouble. How long would it have taken her if she had swum the entire distance?

3. Find the quickest time (down to the nearest metre) for Angela to reach the woman.

Could you please show all working out and explain it? & Thank you.