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A train travels from St. George, Utah to Las Vegas, Nevada carrying passengers on a leisure ride. In the dessert, the winds can get pretty strong, making the train able to get from St. Geroge to Las Vegas faster than it can get from Las Vegas to St. George.

In total, the 240 mile round trip takes about 17 hours. The train can go 34 miles per hour when there is no wind. Find the speed of the wind.

Distance

Rate

Time

St. George to Las Vegas

T1″ role=”presentation” data-asciimath=”T_1″ style=”display: inline-table; line-height: 0; font-size: 16.992px; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; padding-top: 1px; padding-bottom: 1px;”>T1T1

Las Vegas to St. George

T2″ role=”presentation” data-asciimath=”T_2″ style=”display: inline-table; line-height: 0; font-size: 16.992px; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; padding-top: 1px; padding-bottom: 1px;”>T2T2

FOR PARTS 1-5, fill in the following table as you create each piece.

1.) In what direction is the wind blowing?

From Las Vegas to St. George

From St. George to Las Vegas.

2.) If the train is going 34 mph when the wind is not blowing, what would happen to that speed if the train had to fight the wind?

Write an expression about the train’s speed from Las Vegas to St. George, using w as a variable for the winds speed.

3.) If the train is going 34 mph when the wind is not blowing, what would happen to that speed if the train was going with the wind?

Write an expression about the train’s speed from St. George to Las Vegas, using w as a variable for the winds speed.

4.) If the trip is 240 miles round trip, then what distance is St. George to Las Vegas.

5.) Create an equation using both variables T1 and T2 to represent the total amount of time the train travels.

Fill in the table with the expression you created in 1-5.

Distance

Rate

Time

St. George to Las Vegas

T1″ role=”presentation” data-asciimath=”T_1″ style=”display: inline-table; line-height: 0; font-size: 16.992px; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; padding-top: 1px; padding-bottom: 1px;”>T1T1

Las Vegas to St. George

T2″ role=”presentation” data-asciimath=”T_2″ style=”display: inline-table; line-height: 0; font-size: 16.992px; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; padding-top: 1px; padding-bottom: 1px;”>T2T2

Part 6-9.

6.) Using the table you filled out above, create two equations involving the wind speed and time to Las Vegas. Remember distance = rate * time.

SG to LV:

LV to SG:

7.) Solve your first equation for the variable that does not answer the problem.

8.) Solve the second equation for the variable that does not answer the problem.

9.) Use the ideas of substitution create an equation that eliminates that unwanted variable. (Hint: Use question 5.)

Part 10- 11

Solve the equation just created. Write your work in the box with the editor.

Edit Insert Formats

11.) So the wind speed is miles per hours.

Congratulations. You have finished the quiz.Check AnswerQuestion 5

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