Question 263249
a cyclist leaves his training base for a morning workout riding at a rate of 18mph. one hour later, is support staff leaves the base in a car going 45mph in the same direction. how long will it take the support staff o catch up with the cyclist? 
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Let t = hours it takes staff to catch up
then
"cyclist distance traveled" = "distance staff traveled"
(t+1)18 = t(45)
18t+18 = 45t
18 = 27t
18/27 = t
2/3 hours = t
or
40 minutes = t