# math

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A cyclist leaves his training base for a morning workout, riding at the rate of 18 mph. One hour later, his support staff leaves the base in a car going 45 mph in the same direction. How long will it take the support staff to catch up with the cyclist?

• math -

same distance, 3/4 hr difference.

d=18t
d=45(t-3/4)
set them equal, solve for t, the total time the cyclist biked. Then, solve for t-3/4

• math -

2/3

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