Assignment:
Q1. 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?
Q2. 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.
Provide complete and step by step solution for the question and show calculations and use formulas.