Question

Two tractors one moving towards north and other towards east leave the same place at the same time the speed of one of them is greater than that of other by 5 km/hr at the end of two hours they are at a distance of 50 km from each one find the speed of each tractor
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Answer 1

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)

= 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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Answer 2

Step-by-step explanation:

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