Originally Posted by **asian5**

....S o-----------------------+

.......|Y° *.............(sand)...|

..200|.......*.....................| 200

.......|............*................|

....A.+ - - - - - - - o - - - + B

.......|........a.........X *.......|

..200|........................*..Z°| 200

.......|...(mud).................* |

.......+-----------------------o F

........: - - - - 500m - - - - :

(please ignore the full stops)

details:

if the distance from S to F (hypotenuse) , passing through X =200(secY + sec Z)

and tanY + tanZ=5/2

and the distance from S to F, passing through X in terms of Y=200(secY + 0.5(4sec^2Y - 20tanY+25)^(1/2)

if an object can travel 4m/s through sand and 3m/s through mud, determine the best route it should travel through to get from S to F (hypotenuse), passing through X. and the time taken