Problema Solution
A pilot is testing a new experimental craft. The cruising speed is classified information. In a test the jet traveled 4,000 miles. The pilot revealed that if he had increased his speed 200 mph, the total trip would have taken 1 hour less. Determine the cruising speed of the jet.
Answer provided by our tutors
let
d = 4,000 mi the distance traveled
v = the cruising speed of the jet, v>0
t = d/v the time of the trip (since speed = distance/time => time = distance/speed)
t = 4000/v
The pilot revealed that if he had increased his speed 200 mph, the total trip would have taken 1 hour less
the increased speed is: v + 200
the time of the trip: t - 1
t - 1 = d/(v + 200)
plug d = 4,000 and t = 4000/v into the last equation:
(4000/v) - 1 = 4000/(v + 200)
by solving we find
v = 800 mph
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the cruising speed of the jet is 800 mph.