Final answer:
To catch its prey by covering 75 km in 50 minutes, a cheetah needs to move at approximately 90 km/h.
Explanation:
The cheetah must reach a speed where it can cover 75 km in 50 minutes.
Converting 50 minutes to hours (50 minutes / 60 minutes = 0.8333 hours), the speed would be 75 km ÷ 0.8333 hours = 90 km/h. Therefore, the cheetah must move at about 90 km/h to cover the distance.
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