Susan drove an average speed of 30 miles per hour for the first 30 miles of a trip & then at a average speed of 60 miles/hr for the remaining 30 miles of the trip if she made no stops during the trip what was susan's avg speed in miles/hr for the entire trip.(A) 35(B) 40(C) 45(D) 50(E) 55

Respuesta :

Answer:

The correct option is B.

Step-by-step explanation:

It is given that Susan drove an average speed of 30 miles per hour for the first 30 miles of a trip & then at a average speed of 60 miles/hr for the remaining 30 miles of the trip.

[tex]Time=\frac{Distance}{Speed}[/tex]

Time taken by Susan in first 30 miles is

[tex]T_1=\frac{30}{30}=1[/tex]

Time taken by Susan in remaining 30 miles is

[tex]T_2=\frac{30}{60}=0.5[/tex]

Total distance covered by Susan is

[tex]D=30+30=60[/tex]

Total time taken by susan to complete 60 miles trip is

[tex]T=T_1+T_2[/tex]

[tex]T=1+0.5=1.5[/tex]

Susan's avg speed in miles/hr for the entire trip is

[tex]S=\frac{60}{1.5}=40[/tex]

The average speed of susan for entire trip is 40. Therefore the correct option is B.