# The time Wendy spend on the train.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.6, Problem 67E
To determine

Expert Solution

## Answer to Problem 67E

Wendy spends 4 hr on the train.

### Explanation of Solution

Given:

Distance from Davenport to Omaha is 300 mi. Wendy travel some part by train and other part by Bus. The bus averaged 40 mi/h and train averaged 60 mi/h. The entire trip took 412h .

Formula used:

Distance formula is,

distance=rate×time

Calculation:

Let the distance travelled by train be x.

Tabulate the given information into the language of algebra.

 Distance Speed Time Train x 60 x60 Bus 300−x 40 300−x40

Model the equation for the above information.

(timebytrain)+(timebybus)=totaltimex60+300x40=5.5

Simplify the above equation for x.

2x+3(300x)=660(MultiplybyLCD120)2x+9003x=660x=240x=240

The distance covered by train is 240 mi.

From distance formula, the time is calculated as shown below.

distance=rate×timetime=distancerate

Substitute 240 for distance and 60 for rate in the above equation, to find time Wendy spends on the train,

time=24060=4

Thus, Wendy spends 4 hr on the train.

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