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

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(39615) (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

             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

.
.
RELATED QUESTIONS
Courtney rides her bike then the bus and finally the train to visit her aunt. She rides... (answered by josgarithmetic,ankor@dixie-net.com)

Brianna rides her bike then the bus and finally the train to visit her aunt. She rides... (answered by ikleyn)

Stacy rides her bike then the bus and finally the train to visit her uncle. She rides her (answered by Boreal,josgarithmetic)

Jacqueline rides her bike then the bus and finally the train to visit her cousin. She... (answered by josgarithmetic)

Nina rides her bike then the bus and finally the train to visit her brother. She rides... (answered by josgarithmetic)

Jenna rides her bike then the bus and finally the train to visit her brother. She rides... (answered by josgarithmetic)

a girl rides her bike up a hill at 10 miles per hour. She then rides her bike down the... (answered by robertb)

Mary rides her bike to john's house, she returns the same way. She rides at a constant... (answered by solver91311)

Alexandra lives thirty-three miles from work. During the summer, she rides her bike at... (answered by Paul)