SOLUTION: Karen rides her bike then the bus and finally the train to visit her aunt. She rides her bike at 14 mph. The bus travels at 38 mph while the train carries her at 110 mph. She rides

Algebra ->  Length-and-distance -> SOLUTION: Karen rides her bike then the bus and finally the train to visit her aunt. She rides her bike at 14 mph. The bus travels at 38 mph while the train carries her at 110 mph. She rides      Log On


   

Question 1124796: Karen rides her bike then the bus and finally the train to visit her aunt. She rides her bike at 14 mph. The bus travels at 38 mph while the train carries her at 110 mph. She rides the train for 36 minutes longer than she rides the bus. She traveled 175 miles in 4 hours 6 minutes. How long was she riding her bike and reading on the bus?
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
36 minutes is 0.6 hour.
6 minutes is 0.1 hour.
             SPEED      TIME          DISTANCE
BIKE           14
BUS            38          x
TRAIN         110         x+0.6
Total                     4.1           175

First, fill in the missing time expression for "BIKE".
Total time was described as 4.1 hours, so the missing time is 4.1-x-x-0.6
4.1-0.6-2x
3.5-2x 

             SPEED      TIME          DISTANCE
BIKE           14        3.5-2x
BUS            38          x
TRAIN         110         x+0.6
Total                     4.1           175

Next, fill-in the missing distance expressions for Bike, Bus, and Train; and form the needed equation. 

             SPEED      TIME          DISTANCE
BIKE           14        3.5-2x      14(3.5-2x)
BUS            38          x         38x
TRAIN         110         x+0.6      110(x+0.6)
Total                     4.1           175

highlight_green%2814%283.5-2x%29%2B38x%2B110%28x%2B0.6%29=175%29
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