Josh is riding his mountain bike when he realizes that he needs to get home quickly for dinner. He is 2 mi from the road, and home is 3 mi down that road. He can ride 9 mi/h through the field separating him from the road and can ride 22 mi/h on the road.

a. If Josh rides through the field to a point R on the road, and then home along the road, how far will he ride through the field? How far on the road? Let x represent the distance in miles between point R and the point on the road that is closest to his current location.
b. How much time will Josh spend riding through the field? How much time on the road?
c. What value of x gets Josh home the fastest? What is the minimum time?

Transcribed Image Text:

Josh 2 mi Home