Question 735210
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Here is a very different solution method than the one shown by the other tutor.<br>
The ratio of the two speeds is 160:240 = 2:3; since the distances out and back are the same, the ratio of the times at the two speeds is 3:2.  That means 3/5 of the time is at the lower speed and 2/5 is at the higher speed.<br>
The total time is 8 hours; 3/5 of that total time is 24/5 hours, or 4 4/5 hours.<br>
Flying at 160 km/h for 4 4/5 hours, the plane can fly (160)(24/5) = 32*24 = 768 km.<br>
To check that answer, we can find that the distance the plane flies at 240 km/h for 16/5 hours is (240)(16/5) = 48*16 = 768 km.<br>
ANSWER: 768 km<br>