Two planes left simultaneously from the same airport and headed in the same direction towards another airport 1800 km away. The speed of one of the planes was 100 km/hour slower than the speed of the other plane, and so it arrived at its destination 36 minutes after the faster plane. Find the speeds of both planes.

Question

Mathematics

Tessa Costa

3 August, 09:59

Two planes left simultaneously from the same airport and headed in the same direction towards another airport 1800 km away. The speed of one of the planes was 100 km/hour slower than the speed of the other plane, and so it arrived at its destination 36 minutes after the faster plane. Find the speeds of both planes.

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Answers (1)

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Dale Beard · Answer 1

Faster plane - -> 600km/hr

Slower Plane - -> 500km/hr

Step-by-step explanation:

Use inequality: 1800/r = 1800 / (r-100) + 3/5 and solve to get r = 600, so the plane which is r - 100 is 500 km/hr.