Question

Flying against the jetstream, a jet travels 4960 miles in 8 hours. Flying with the jetstream, the same jet travels 2940 miles in 3 hours. What is the rate of the jet in still air and what is the rate of the jetstream?

Answer 1

Answer:

Velocity of jet in still air is 800mph hour and velocity of wind is 180mph

Step-by-step explanation:

Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.

#Jet's velocity against jet-stream is:

$v_i=\frac{4960}{8}\\\\=620\ mph$

#Jet's velocity with jet-stream:

$v_{ii}=\frac{2940}{3}\\\\=980\ mph$

#The velocity against jet-stream is x-y and with jet-stream is x+y:

$x-y=620\\\\x+y=980\\\\\#add \ the \ two \ equations\ to \ eliminate \ y\\\\2x=1600\\\\x=800\\\\y=980-800=180$

Hence,velocity of jet in still air is 800 mph hour and velocity of wind is 180 mph.