SOLUTION: Emilio drives home for college once a month. It takes him 4 and 1/3 h to make the 350-km trip. He drives at 60km/h for part of the trip and 90km/h for the rest of the way. Let x re

Algebra ->  Average -> SOLUTION: Emilio drives home for college once a month. It takes him 4 and 1/3 h to make the 350-km trip. He drives at 60km/h for part of the trip and 90km/h for the rest of the way. Let x re      Log On


   

Question 1065077: Emilio drives home for college once a month. It takes him 4 and 1/3 h to make the 350-km trip. He drives at 60km/h for part of the trip and 90km/h for the rest of the way. Let x represent the distance Emilio drives at 60km/h and y represent the distance he drives awn 90km/h. a) write an equation for the total distance b) write an equation for the total time c) determine the distances that emilio drives at each speed.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
"Let x represent the distance Emilio drives at 60km/h and y represent the distance he drives awn 90km/h"
                SPEED        TIME           DISTANCE

Part1           60                          x

Part2           90                          y

Total                       4%261%2F3          350


Fill in the missing time information.
                SPEED        TIME           DISTANCE

Part1           60           x%2F60               x

Part2           90           y%2F90               y

Total                       4%261%2F3          350

system%28x%2By=360%2Cx%2F60%2By%2F90=4%261%2F3%29


A couple of first-steps:

x%2F60%2By%2F90=13%2F3, LCD is 180.

180%28x%2F60%29%2B180%28y%2F90%29=180%2813%2F3%29

3x%2B2y=780
.
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