A bus traveled 120 miles in 2.5 hours. After picking up new passengers, it traveled another 105 miles in 2 hours.


What was the average speed of the bus for the entire trip?


Round to the nearest hundredth, if necessary.


48.00 mi/h


50.00 ​mi/h​


50.25 ​mi/h​


52.50 ​mi/h​

Respuesta :

Answer: 50.25mi/h


Step-by-step explanation:

 1. You must calculate the average speed in the first part of the trip with the following formula:

[tex]V_1=\frac{d_1}{t_1}[/tex]

Where [tex]d_1[/tex] is the distance in the first part of the trip and [tex]t_1[/tex] is the time in the first part of the trip.

Then:

[tex]V_1=\frac{120mi}{2.5h}=48mi/h[/tex]

2. Now, calculate the average speed in the second part of the trip:

 [tex]V_2=\frac{105mi}{2h}=52.5mi/h[/tex]

3. The average speed of the bus for the entire trip:

[tex]V=\frac{V_1+V_2}{2}=\frac{48mi+52.5mi}{2}=50.25mi/h[/tex]

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