Problema Solution

PLANE A LEAVES LOS ANGELES FOR NEW YORK AT 500 MPH,AT THE SAME TIME PLANE B LEAVES FROM NEW YORK AT 650 MPH. ASSUME THE DISTANCE FROM LOS ANGELES TO NEW YORK IS 3000 MILES.FIND HOW LONG IT TAKES THEM TO MEET.

Answer provided by our tutors

let


v1 = 500 mph the speed of plane A


v2 = 650 mph the speed of plane B


d = 3,000 mi the distance


t = the time of the flight


since speed = distance/time follows distance = speed*time


we assume the planes are flying towards each-other thus the sum of the distances that each travels is equal to 3,000 mi


v1t + v2t = d


500t + 650t = 3000


by solving we find:


t = 60/23 hr


t = 2 13/23 hr


t = 2 hr 13*60/23 min


t = 2 hr 34 min approximately


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it takes them 2 hr 34 min to meet.