One of the basic relationships in the study of motion is distance = ratetime This is abbreviated as d = rt In this formula , the rate is the same as velocity . Because most motion problems involve velocity that changes frequently , the rate in the formula is usually average velocity . If the rate stays the same , then the variables are d ( distance ) and (time). Answer the following questions about d = rt Make sure to use the correct units in your answers

Suppose you intend to travel 320 miles along a long stretch of a highway with your cruise control originally set at 50 miles per hour. You travel for 1 hour then stop for 30 minutes for fuel and to get lunch. After this time, you set your cruise control at 60 miles per hour and complete the trip. What is the total time needed, from the start, to complete the entire trip? Show your work below