Problema Solution
A pilot flew a jet from Montreal to Los Angeles, a distance of 2800 miles. On the return trip the average speed was 20% faster than the outbound speed. The round trip took 9
hrs and 45 mins. What was the speed from Montreal to Los Angeles?
Answer provided by our tutors
let
d = 2,800 mi the distance traveled in one direction
v = the outbound speed from Montreal to Los Angeles
v + 0.20v = 1.20v the return speed from Los Angeles to Montreal
9 hr 45 min = 9 45/60 hr = 9.75 hr the total time of the trip
t = the time of the travel from Montreal to Los Angeles
9.75 - t = the time of the travel from Los Angeles to Montreal
since speed= distance/time follows distance = speed*time:
v*t = d
vt = 2,800
1.20v*(9.75 - t) = d
1.20*v*9.75 - 1.20vt = 2800
plug vt = 2800 into the last equation
1.20*9.75v - 1.20*2800 = 2800
by solving we find
v = 526.5 mph
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the speed from Montreal to Los Angeles was 526.5 mph.