Ordinarily, it takes Brother 20 minutes to go from home to school, and it takes Sister 16 minutes to go from home to school. Today, Brother got a two-minute head start on Sister.
A) Draw a graph to show the percent of the distance to school that Sister has covered versus the time that Sister travels. Label the graph S.
B) On the coordinate system above, draw a second graph B to show the percent of the distance to school that Brother has covered, using Sister's travel-time scale as the clock. One point, taking into account Brother's head start, is shown. (Be sure to notice that the horizontal axis scale is for Sister's travel time.)
C) According to your graphs, will Sister catch up with Brother? If so, how do you know, and when does she catch up? If not, how do you know?

Question

Ordinarily, it takes Brother 20 minutes to go from home to school, and it takes Sister 16 minutes to go from home to school. Today, Brother got a two-minute head start on Sister.  
A) Draw a graph to show the percent of the distance to school that Sister has covered versus the time that Sister travels. Label the graph S. 
B) On the coordinate system above, draw a second graph B to show the percent of the distance to school that Brother has covered, using Sister's travel-time scale as the clock. One point, taking into account Brother's head start, is shown. (Be sure to notice that the horizontal axis scale is for Sister's travel time.) 
C) According to your graphs, will Sister catch up with Brother? If so, how do you know, and when does she catch up? If not, how do you know?

Quizplus · Accepted Answer

The Answer of Ordinarily, it takes Brother 20 minutes to go from home to school, and it takes Sister 16 minutes to go from home to school. Today, Brother got a two-minute head start on Sister.  
A) Draw a graph to show the percent of the distance to school that Sister has covered versus the time that Sister travels. Label the graph S. 
B) On the coordinate system above, draw a second graph B to show the percent of the distance to school that Brother has covered, using Sister's travel-time scale as the clock. One point, taking into account Brother's head start, is shown. (Be sure to notice that the horizontal axis scale is for Sister's travel time.) 
C) According to your graphs, will Sister catch up with Brother? If so, how do you know, and when does she catch up? If not, how do you know?

Ordinarily, It Takes Brother 20 Minutes to Go from Home