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50m/s ? 90 90m ? 20 50 20m/s ? When will the lion catch the zebra? Use the distance = rate * time formula. You can solve this problem from the lion's perspective. 50m/s 90m 20m/s distance lion needs to catch up 90 ? 50m/s = When will the lion catch the zebra? rate lion gains on the zebra each second 90m 30 ? * 20m/s time (unknown) t ? solve the equation. t= distance lion needs to catch up 90 = rate lion gains on the zebra each second 30 * seconds time (unknown) t For every 50 m the lion travelled, The lion gained 30m each second. The lion caught up in 3 seconds. 30m 90 m 30m The zebra travelled 20 m 30m The same problem is displayed on the following table.... Distance: 90m Lion 50m/s Zebra 20m/s 1 sec 2 sec 3 sec start 50 0 110 90 distance between 60 90 Distance: 90m Lion 50m/s Zebra 20m/s 1 sec 2 sec 3 sec start 100 50 0 110 130 90 distance between 60 30 90 The lion catches the zebra in 3 sec 1 sec 2 sec 3 sec start 150 100 50 0 110 130 150 90 distance between 60 30 90 0 30m/s ? 100 100m ? 10 30 10m/s ? When will the lion catch the zebra? Use the distance = rate * time formula. You can solve this problem from the lion's perspective. 30m/s 100m 10m/s distance lion needs to catch up 100 ? 30m/s = When will the lion catch the zebra? rate lion gains on the zebra each second 100m 20 ? * 10m/s time (unknown) t ? distance lion needs to catch up solve the equation. t= 100 = rate lion gains on the zebra each second 20 * time (unknown) t 60m/s ? 200 200m ? 40 60 40m/s ? When will the lion catch the zebra? Use the distance = rate * time formula. Solve this problem from the lion's perspective. 60m/s 200m 40m/s distance lion needs to catch up 60m/s = When will the lion catch the zebra? rate lion gains on the zebra each second 200m * 40m/s time (unknown) t solve the equation. t= distance lion needs to catch up 200 = rate lion gains on the zebra each second 20 * seconds time (unknown) t distance lion needs to catch up 400 = rate lion gains on the zebra each second 50 75 * time (variable) Lion needs to catch up 400m 400 = 25t t= seconds Lion GAINS 25m per second (t) |