Question

What is your average velocity if you drive a distance of 113 km at a speed of 47 km/h, then the same distance at a speed of 66 km/h? Answer in units of km/h.

Answer 1

Average velocity v = 54.90 km/h

Step-by-step explanation:

We have given the distance d = 113 km

First speed = 47 km/h

Time taken to cover 113 km with speed of 47 km/h

`t=(distance)/(speed)=(113)/(47)=2.4042h`

Time taken to cover 113 km with speed of 66 km/h

`t=(distance)/(speed)=(113)/(66)=1.7121h`

So total time = 2.4042+1.7121 =4.1163 hour

Total distance = 113+113=226 km

So average velocity
`v=(distance)/(time)=(226)/(4.1163)=54.90km/h`

Answer 2

`V_(avg)=54.90\ km/h`

Step-by-step explanation:

Given that

Drive 113 km at 47 km/h and another 113 km at 66 km/h.

When distance is same then average velocity can be found by using below formula:

`V_(avg)=(2V_1V_2)/(V_1+V_2)`

Here

`V_1= 47\ km/h`

`V_2= 66\ km/h`

Now by putting the values

`V_(avg)=(2V_1V_2)/(V_1+V_2)`

`V_(avg)=(2* 47* 66)/(47+66)`

So

`V_(avg)=54.90\ km/h`