Question 823617
Distance = rate x time


Art's distance
D = rt {distance = rate x time}
rate = 50
time = t
d = 50t


Jennifer's distance
D = rt {distance = rate x time}
rate = 60
time = t - 0.5 {left 1/2 hour later than Art}
d = 60(t - 0.5) = 60t - 30 {used distributive property}


50t = 60t - 30 {when Jennifer catches up with Art, the distances will be equal}
-10t = -30 {subtracted 60t from each side}
t = 3 {divided each side by -10}


In 3 hours, Jennifer will catch up with Art
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