Answer
In ten minutes, the work done by the force is $~~(1.83\times 10^5)~ft\cdot lb$
Work Step by Step
We can find the distance traveled in 10 minutes:
$d = (6.0~mi/h)(\frac{1}{6}~h)(\frac{5280~ft}{1~mi}) = 5280~ft$
We can find the work done by the force in 10 minutes:
$W = F~d~cos~\theta$
$W = (40~lb)~(5280~ft)~cos~30^{\circ}$
$W = (1.83\times 10^5)~ft\cdot lb$
In ten minutes, the work done by the force is $~~(1.83\times 10^5)~ft\cdot lb$.