Thread: Calculating distance road

Hello,

I struggle for a long while with solving this problem, but can't seem to find a solution. I'm not really a mathematical genius.
On asks to calculate the quickest route from A to B (by foot).
There are 2 ways to get there:
1. From A to X at 5 km/h and then from X to B at 2 km/h -> this route takes 16 minutes 59 seconds
2. From A to Y at 5 km/h and then from Y to B at 2 km/h -> this route takes 19 minutes 25 seconds

The aim is to find out what the distance is
From A -> X and X -> B
From A -> Y and Y -> B

There are a few catches .
- The angle between A-> X and A-> Y is 95°, but I do not know whether this is important.
- The angles between A-> X and X-> B and also A-> Y and Y-> B are not necessarily 90 °

Thus Pythagoras is in my eyes not suitable for solving this problem.

How should I deal with this problem? Preferably as understandable as possible please.

Thanks

Eddy

i fail to see how you can solve this problem with the information given.

i do believe you need at least some other angle measure or statement about parallelism of side or something here....

are you sure this is all that you have?
-emily

Originally Posted by mlemilys

i fail to see how you can solve this problem with the information given.

i do believe you need at least some other angle measure or statement about parallelism of side or something here....

are you sure this is all that you have?
-emily

I agree with emily, to many variables to set up some similtaneous eqautions.

Originally Posted by mlemilys

i fail to see how you can solve this problem with the information given.

i do believe you need at least some other angle measure or statement about parallelism of side or something here....

are you sure this is all that you have?
-emily

This all I have. Additionally I can say:
Walking through the forest is possible at 2 km/hour, walking along one of these two roads (A->X or A->Y) at 5 km/hour .
If you from a straight line from A->B you need to walk 2km/h
The quickest ways to reach the B are by following these roads and then walking in a straight line to B. There is no info about the angles A->X and X->B nor A->Y and Y->B