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# Word Problems - Linear Inequality, etc.

Can you please assist me with formulas for the following?

1. Formula needed for:
A freight train leaves a station traveling at 32 km/h. Two hours later, a passenger train leaves the same station traveling in the same direction at 52 km/h. How long does it takes the passenger train to catch up to the freight train?

2. Describe the situation with a linear inequality and then solve the inequality.

A standard train ticket in a certain city costs 1.50 per ride. People who use the train also have the option of purchasing a frequent rider pass for 16.50 each month. With the pass, a ticket .75 costs only per ride. Use an inequality to determine the number of train rides in a month for which purchasing the monthly pass is more economical than purchasing the standard train ticket.

#### Solution Preview

1. Formula needed for:
A freight train leaves a station traveling at 32 km/h. Two hours later, a passenger train leaves the same station traveling in the same direction at 52 km/h. How long does it takes the passenger train to catch up to the freight train?

We use the formula d= v*t
- d= distance
- difference of velocity
- ...

#### Solution Summary

Uses d=v*t formula to solve two word problems is provided in the solution.

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