work problem

[franklin91]

Kiran drove from Tortula to Cactus, a distance of 294 mi. She increased her speed by 8 mi/h for the 399 mi trip from Cactus to Dry Junction. If the total trip took 13 h, what was her speed from Tortula to Cactus?

i thought i had the correct format of setting it up by setting the distance and speed fractions equal to the time but i cant seem to get the right answer....can someone help?

 

[BigGlenntheHeavy]

\(\displaystyle xy \ = \ 294\)

\(\displaystyle (x+8)(13-y) \ = \ 399\)

\(\displaystyle Now, \ solve \ the \ system.\)