Problema Solution
A insurance representative traveled 532 mi by commercial jet and then an additional 95 mi by helicopter. The rate of the jet was four times the rate of the helicopter. The entire trip took 2.4 h. Find the rate of the jet.
Answer provided by our tutors
let
v1 = the rate of the jet
d1 = 532 mi the distance traveled by jet
v2 = the rate of the helicopter
d1 = 95 mi the distance traveled by helicopter
the rate of the jet was 4 times the rate of the helicopter
v1 = 4v2 => v2 = v1/4
since rate = distance/time => time = distance/rate
the entire trip took 2.4 h
d1/v1 + d2/v2 = 2.4
532/v1 + 95/v2 = 2.4
if we plug v2 = v1/4 in the above equation we get
532/v1 + 95/(v1/4) = 2.4
by simplifying and solving we find
v1 = 380 mph
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the rate of the jet is 380 miles per hour.