Answer:
The plane needs 29.1 minutes to rise during stage 2.
Step-by-step explanation:
Initially, the plane is flying at 31348 ft. It needs to rise to 37000 ft in two stages (S2).
The first stage (F), it rises 5%(P) of its initial altitude of 31348 ft (I).
F = (I*P)
F = (31348 ft* (5/100))=1567.4 ft
5% represents 1567.4 ft. It means, total alttitude for fist stage (T1) is F + I
T1 = F+I
T1 = 1567.4+31348 = 32915.4 ft
Second stage (S) it raises at a rate (R) of 140.3 ft/min. We need to calcualte the altitude for second stage, as the difference of S2 and T1.
S = S2 - T1
S = 37000 ft - 32915.4 ft
S = 4084.6 ft
S is the altitude required during the second stage with a rate R of 140.3 ft/min. We need to calculate the time (t), we can do it dividing S by R.
t = S/Rt = (4084.6 ft)/(140.3 ft/min)
t = 29.1 min
Finally, The plane needs 29.1 minutes to rise during stage 2.