Rex runs one mile in 5 minutes, Stan runs one mile in 6 minutes, and Tim runs one mile in 7 minutes. There are 5280 feet in one mile. By how many feet does Tim trail Stan at the moment that Rex completes a one-mile run? Express your answer as a decimal to the nearest tenth.

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LRev

Answer:

[tex]628.5ft[/tex]

Step-by-step explanation:

Find the velocity of Tim and Stan, by dividing the distance between the time:

[tex]v_T=\frac{5280}{7} =754.3 ft/min[/tex]

[tex]v_S=\frac{5280}{6} =880ft/min[/tex]

The distance that Stan and Tim travel in 5 minutes is equal to their respective velocity multiplied by the time.

[tex]d_T=754.3\times5=3771.5ft\\[/tex]

[tex]d_S=880\times5=4400ft[/tex]

The answer to the question is the difference in miles traveled by Stan minus those traveled by Tim.

[tex]R=4400-3771.5=628.5ft[/tex]