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How far from an airport can an airplane fly and return in 8 hours, if it's outgoing speed is 160 km per hour and it's returning speed is 240 km per hour

2 Answers

4 votes
t = 8 h
v1 = 160 km/h
v2 = 240 km/h

mmc 160 e 240 = 80
s = 80*8
s = 640 km


User Igor Hatarist
by
8.9k points
4 votes
speed = distance/time
total time is 8 hours

outgoing speed is 160 km per hour,
so time = d/160

returning speed is 240 km per hour,
so time = d/240

d/160 + d/240 = 8

3d/480 + 2d/480 = 8
5d/480 = 8
5d =480 (8)
5d = 3840
d=3840/5
d=768

answer: so the distance is 768 km
User Pellenberger
by
7.6k points