I have absolutely no idea about this. Can you give me a step by step solution?
Thanks for your attention, appreciate it.
On an appropriate set of axes, draw the line d = 350 t (where has the 350 come from?) but stop at a point. Label that point (d1, t1). t1 is the time flown with the wind. What is the relationship between d1 and t1 (you will need this relationship)?
Now draw a line from the point (d1, t1) to the point (0, 4) (where has the 4 come from?) What must the slope of this line be? Use the value of this slope to help calculate a value of t1.
Hence answer question 2.
I believe I can answer the question. However, as I understand a "hint" is given to help someone, but its usage is not imperative. I have so decided to disregard the graph hint and thought up another solution, whose correctness I cannot guarantee.
My idea is the following:
We are looking for a maximum distance which we can travel given the circumstances and come back.
So let S1 be the distance we are travelling forward, V1 - the going-forward speed, t1 - the time we are travelling forward and S2, V2, t2 - the same variables only that when we are travelling back.
So our aim is to make S1 = S2.
The formula from the physics classes we know for a distance travelled is:
S = V / t.
So S1 = V1 / t1 and S2 = V2 / t2.
We need S1 to be equal to S2, so
V1 / t1 = V2 / t2.
We know that t1+t2 = 4 and V1 and V2's values are known.
From here onwards it is all simplification and eventually I get that the maximum time that can be travelled forward is 7/3 hours and 5/3 hours back.
As I said I cannot guarantee that the solution is correct and I am open to any critics as long as they do not leave the borders of logic and clear thinking.