1 Attachment(s)

Find shortest time to travel

Firstly, apologies for the hard-to-see image. It's just for an outline of the problem.

The questions asks to find the value of x (on the right vertical side) to find the minimum time to travel to the top right corner of the "forest"

The bush can be travelled through at 3km/h and the "clear" area can be travelled through at 5km/h.

I started by equating the times of the 2 routes to take but came up with the wrong answer.

Any help is greatly appreciated.

The graphic shows 2 km at the bottom and x km on the right side.

Attachment 23934

Re: Find shortest time to travel

Re: Find shortest time to travel

Thank you very much, that makes a lot of sense, however; how do I factor the extra distance d into the equation?

I get an answer of x=1.5 which is what I got initially. The answer in the solutions is 1.2km.

Could you please further complete this example? That would be a great help!

Thank you