Question: A hotel 35 miles from an airport runs a shuttle service to and from the airport. The 9:00 A.M. bus leaves for the airport traveling

A hotel 35 miles from an airport runs a shuttle service to and from the airport. The 9:00 A.M. bus leaves for the airport traveling at 30 miles per hour. The 9:15 A.M. bus leaves for the airport traveling at 40miles per hour.
(a) Write a system of linear equations that represents distance as a function of time for the buses.
(b) Graph and solve the system.
(c) How far from the airport will the 9:15 A.M. bus catch up to the 9:00 A.M. bus?

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