On Your Left
Captain America & Falcon started running around the park at the same spot before our Captain repeatedly outran the latter. The total distance of 1 park lap was 300 meters, and the ratio of Captain's speed to Falcon's equaled to 3 : 2.
The outrun always took place at the same spot they had started the race, and in 10 minutes, our Captain made his fourth outrun with Falcon.
How many seconds would it take for Falcon to complete 1 lap? (Assume they always used constant speeds.)
Credit: Marvel Studio
The answer is 75.
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1 solution
Let x be Falcon's speed. So Captain's speed = 1.5x (from the given ratio)
The difference in their speed = 1.5x - x = 0.5x
In 10 minutes, 4 outruns occurred at the same place, so the first outrun happened at 2.5 minutes or 150 seconds. The first outrun time can be formulated as if Falcon stayed still and Captain ran a whole lap of 300 meters with the speed difference to meet him at the starting point.
Thus, 150 sec. = 0 . 5 x 3 0 0 m .
0.5x = 2 m./s.; x = 4 m./s.
As a result, it would take 4 3 0 0 = 75 seconds for Falcon to complete 1 lap.