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

`628.5ft`

Explanation:

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

`v_T=(5280)/(7) =754.3 ft/min`

`v_S=(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*5=3771.5ft\\`

`d_S=880*5=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`