Question

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.

Answer 1

Answer:

$628.5ft$

Step-by-step explanation:

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

$v_T=\frac{5280}{7} =754.3 ft/min$

$v_S=\frac{5280}{6} =880ft/min$

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

$d_T=754.3\times5=3771.5ft$

$d_S=880\times5=4400ft$

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

$R=4400-3771.5=628.5ft$