Two tractors one moving towards north and east,leave the same place at the same time.The speef of one of them is greater than that of the other by 5km/h.At the end of 2 hours they are at a distance of 50 km from each other.Find the speed of each tractor.
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Answer:
Hi this is ur answer
Step-by-step explanation:
speed of one tractor = x and speed of other tractor = x+5
since they are moving in perpendicular directions, they will form a right triangle.
in 2 hours, distance covered = 2x km and 2(x+5) km
(2x)² + {2(x+5)}² = 4x² + 4x² + 100x + 40x =
50² = 2500 (Pythagoras theorem )
= 8x² + 100x - 2460 = 0
2x² + 25x - 615 = 0
solving the equation, we get x = 12.366 and -24.866
since speed is never negative , x = 12.366 km/h
other speed = 17.366 km/h
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