A cheetah can run at approximately 100 km/hr, and a gazelle at 80 km/hr. If both animals are running at full speed, with the gazelle 70 meters ahead, how long will it take for the cheetah to catch its prey?
Answer (2)
The cheetah's speed is 100x and The gazelle's speed is 80x + 70. Set the two equations equal to each other: 100x = 80x +70 (then subtract 80x from both sides). 20x = 70 (then divide by 20). X =3.5. The cheetah catches the gazelle after 3.5
The cheetah will catch the gazelle in approximately 12.59 seconds. This is calculated by determining the relative speed of the cheetah compared to the gazelle and then using the distance of 70 meters to find the time required. The relative closing speed of the cheetah is 20 km/hr or about 5.56 m/s.
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