Problema Solution

two planes, which are 3040 miles apart fly toward each other. Their speeds differ by 60 mph. if they pass each other in 4 hours, what is the speed of each?

Answer provided by our tutors

let


v = the speed of the first plane, v>0


v + 60 = the speed of the second plane (since the differ by 60 mph)


t = 4 hr the time of the flight


since speed = distance/time we have distance = speed*time


the distance the first plane made + the distance the second plane made = the total distance of 3040 miles


v*t + (v + 60)*t = 3040


v*4 + (v + 60)*4 = 3040


by solving we find:


v = 350 mph the speed of the first plane


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350 + 60 = 410 mph the speed of the second plane.