Problema Solution
An airliner leaves Berlin, Germany, headed for Montreal, Canada, flying at an average speed of 370 mph. At the same time, an airliner leaves Montreal headed for Berlin, averaging 390 mph. If the airports are 3,8000 miles apart, when will the air traffic controllers have to make the pilots aware that the planes are passin each other?
Answer provided by our tutors
let
v1 = 370 mph the speed of the airliner flying from Berlin to Montreal
v2 = 390 mph the speed of the airliner flying from Montreal to Berlin
d = 38,000 mi the distance between them
t = the time after the planes fly before passing each other
since distance = speed*time we have
v1*t + v2*t = d
370t + 390t = 38,000
by solving we find:
t = 50 hr
click here to see the step by step solution of the equation:
the planes will pass each other after 50 hours.