Answer:
He will have paddled the canoe for 4 km.
a. The distance paddled out is equal to the distance paddled returning.
Step-by-step explanation:
Let <em>d </em>be the distance that Roger Waters paddled out.
Let <em>t </em>be the time for the travel he paddled out and <em>t' </em>be the time for returning.
Then from the formula
,
<em>t </em>=
and <em>t' </em>= ![\frac{d}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7B2%7D)
Total time for the journey = 1 hour 30 minutes = 1.5 hours
So, <em>t</em> + <em>t'</em> = 1.5
![\frac{d}{4} +\frac{d}{2} =1.5](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7B4%7D%20%2B%5Cfrac%7Bd%7D%7B2%7D%20%3D1.5)
![\frac{3d}{4} =1.5](https://tex.z-dn.net/?f=%5Cfrac%7B3d%7D%7B4%7D%20%3D1.5)
3<em>d</em> = 6
<em>d</em> = 2 km
The total distance he will have paddled the canoe = 2<em>d</em> = 2(2) = 4 km.
Clearly, the distance he paddled out = the distance he returned.
Hence, the correct option is A.