Tanya drove on the highway and on local roads to complete a trip of \…

Question

Prompt

Tanya drove on the highway and on local roads to complete a trip of

290

miles. The drive took

5

hours. She drove an average speed of

65

miles per hour (mph) on the highway and an average speed of

30

mph on local roads. If

x

is the time, in hours, Tanya drove on the highway and

y

is the time, in hours, she drove on local roads, which system of equations represents this situation?

65 x + 30 y = 5

x + y = 290

65 x + 30 y = 290

x + y = 5

30 x + 65 y = 5

x + y = 290

30 x + 65 y = 290

x + y = 5