1. Suppose Tony and Rita are racing. Tony starts 50 ft ahead of the starting line because
he is slower than Rita. Tony's speed is 10 ft/s. Rita's speed is 15 ft/s. Lett represent
the number of seconds that have elapsed since the start of the race.
a. What does the expression 15t tell you in terms of the race?
b. Write an equation to show the relationship between the time that has elapsed in the
race and Tony's distance from the starting line.
c. Write an equation to show the relationship between the time that has elapsed in the
race and Rita's distance from the starting line.
d. If you solved the equation 151 = 50 + 10t for t, what would you have found
(in terms of the situation of the race)?
e. Use algebra to find the time at which Rita will catch up to Tony.
f. How far will Tony have run when Rita catches up to him? How far will Rita have
traveled?
g. How far apart are Rita and Tony after 35 s?
h. Show the original situation with distance-time graphs by plotting points describing
Rita's distance and Tony's distance on the same grid.