Question

Neymar, who is running 19 feet per 2 seconds, is 14 feet behind David Beckham, who is running at 17 feet per second. How long will it take Neymar to catch up with David Beckham?

a) 5 seconds
b) 6 seconds
c) 7 seconds
d) 8 seconds

Answer 1

Neymar runs at 9.5 feet per second while David Beckham runs at 17 feet per second. Neymar, who is 14 feet behind, will never catch up to Beckham as Beckham is running faster. None of the given options for time until Neymar catches up are correct.

Step-by-step explanation:

To solve the problem of how long it will take Neymar to catch up with David Beckham, we start by calculating their relative speeds. Neymar is running at 9.5 feet per second (19 feet / 2 seconds), while David Beckham is running at 17 feet per second. The relative speed at which Neymar is catching up to Beckham is the difference between their speeds, which is 9.5 - 17 = -7.5 feet per second.

Since Neymar is behind by 14 feet, we can calculate the time it takes for him to catch up by dividing the distance by the relative speed. However, as the relative speed is negative, this indicates that Neymar will never catch up to Beckham, as Beckham is faster.

Given the provided speeds, Neymar cannot catch up to David Beckham; therefore, none of the answer choices (a. 5 seconds, b. 6 seconds, c. 7 seconds, d. 8 seconds) are correct. Neymar's speed must be greater than Beckham's in order for him to catch up.