Answer :
Answer:
B will take 1.034 times the time of A from Boston to Hartford.
Explanation:
Let the distance from Boston to Hartford be S.
Person A drives at a constant speed of 55 mph for the entire trip,
Time taken by person A
[tex]t_A=\frac{S}{55}[/tex]
Person B drives at 65 mph for half the distance and then drives 45 mph for the second half of the distance.
Time taken by person B
[tex]t_B=\frac{\frac{S}{2}}{65}+\frac{\frac{S}{2}}{45}=\frac{S}{130}+\frac{S}{90}=\frac{220S}{130\times 90}=\frac{11S}{585}[/tex]
Ratio of time of arrival of B to A
[tex]\frac{t_B}{t_A}=\frac{\frac{11S}{585}}{\frac{S}{55}}=\frac{121}{117}=1.034[/tex]
B will take 1.034 times the time of A from Boston to Hartford.