Write the Word or Phrase That Best Completes Each Statement $\mathrm { D }$

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
- a. Assume that traffic flows at a rate of 215 vehicles per hour on the stretch of road between intersections $\mathrm { D }$ and $\mathrm { A }$ . Find the flow rates $x _ { 1 } , x _ { 2 }$ , and $x _ { 3 }$ .
b. If traffic flows at a rate of between 195 and 270 vehicles per hour inclusive between intersections $\mathrm { D }$ and $\mathrm { A }$ , find the flow rates $x _ { 1 } , x _ { 2 }$ , and $x _ { 3 }$ .

A) a. $x _ { 1 } = 65 , x _ { 2 } = 195$ , and $x _ { 3 } = 170$ ;
b. $40 \leq x _ { 1 } \leq 115,180 \leq x _ { 2 } \leq 255$ , and $155 \leq x _ { 3 } \leq 230$
B) a. $x _ { 1 } = 65 , x _ { 2 } = 195$ , and $x _ { 3 } = 170$ ;
b. $35 \leq x _ { 1 } \leq 110,185 \leq x _ { 2 } \leq 260$ , and $145 \leq x _ { 3 } \leq 220$
C) a. $x _ { 1 } = 55 , x _ { 2 } = 205$ , and $x _ { 3 } = 165$ ;
b. $40 \leq x _ { 1 } \leq 115,180 \leq x _ { 2 } \leq 255$ , and $155 \leq x _ { 3 } \leq 230$
D) a. $x _ { 1 } = 55 , x _ { 2 } = 205$ , and $x _ { 3 } = 165$ ;
b. $35 \leq x _ { 1 } \leq 110,185 \leq x _ { 2 } \leq 260$ , and $145 \leq x _ { 3 } \leq 220$