Problema Solution
A student on her way to spring break vacation drive from her home to the airport at an average speed of 40 mph. The student spent a total of 60 minutes at the airport before her airplane lifted off. The airplane flew from her airport to her destination at an average speed of 440 mph. The entire distance was 1360 miles; the entire trip took four hours. Find the distance from the airport to the student's home to the nearest mile.
Answer provided by our tutors
I will assume that the "entire trip took4 hours" does not include the 60 minutes at the airport.
let
d = the distance from the airport to the student's home
since speed = distance/time => time = distance/speed
d/40 + (1360 - d)/440 = 4
by solving we find
d = 40 mi
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the distance from the airport to the student's home is 40 miles.