Question

you want to walk to a nearby bus stop as quickly as possible which is across a grassy park, 300 feet west and 700 feet north from your starting position. IF you can walk west along the southern edge of the park on the sidewalk at 7 ft/sec, but walk more slowly through the grass at 5ft/sec, what path will get you to the bus stop as quickly as possible, to the nearest tenth of a foot?

Answer 1

Use pythagoras theorem to find shortest distance (North West)
Then divide by speed to find time.
It takes 152.32 seconds
Whereas the other route along the sidewalk takes
142.86 seconds. So walking around is faster than walking straight through the grass.