Let
x--------> distance that Kerry can carry the basket in feet
y--------> distance that Rachel can carry the basket in feet
z-------> distance that Daniel can carry the basket in feet
we know that
 -------> equation
 -------> equation 

 -------> equation
 -------> equation 

 -------> equation
 -------> equation 

Substitute equation 
 in equation
 in equation 

 
 

Find the value of z

if each person taking only one turn, 
then 
the distance that they can carry the basket is equal to ------> x+y+z


therefore
the answer is
Yes It is reasonable