Respuesta :
Answer:
120mph.
Step-by-step explanation:
let s = the speed of the private plane
then
(2s+60) = the speed of the commercial airliner
:
Write a time equation; time = dist/speed
300%2Fs = 750%2F%28%282s%2B60%29%29
cross multiply
750s = 300(2s+60)
750s = 600s + 18000
750s - 600s = 18000
150s = 18000
s = 18000/150
s = 120 mph is the speed of the private plane
then
2(120) + 60 = 300 mph is speed of the commercial airliner
:
:
Check this find the actual time for each
300/120 = 2.5 hrs
750/300 = 2.5 hrs, confirms our solutions
Find the speed of each aircraft
The ratio of the distances flown is 750:300 = 5:2. Since the times are the same, the ratio of the speeds is 5:2. So let the two speeds be 5x and 2x.
The speed of the airliner in mph is 60 more than twice the speed of the private plane:
5x+=+2%282x%29%2B60
5x+=+4x%2B60
x+=+60
The speeds of the two aircraft are 5x = 300mph and 2x = 120mph.
