You drive 6.0 km at 50 km/h and then another 6.0 km at 90 km/h. Your average speed over the 12 km drive will be ____
(A) a greater than 70 km/h.
(B) less than 70 km/h.
(C) exactly 38 km/h.
(D) It cannot be determined from the information given because we must also know directions traveled.
(E) equal to 70 km/h.

Respuesta :

Answer:

The average speed is less than 70 km/h.

(B) is correct option.

Explanation:

Given that,

distance = 6.0 km

Speed = 50 km/h

Speed = 90 km/h

We need to calculate the time in 6.0 km distance

Using formula of time

[tex]t = \dfrac{d}{v}[/tex]

Put the value in to the formula

[tex]t=\dfrac{6.0}{50}[/tex]

[tex]t=0.12\ hr[/tex]

We need to calculate the time in another distance

Using formula of time

[tex]t = \dfrac{d}{v}[/tex]

Put the value in to the formula

[tex]t=\dfrac{6.0}{90}[/tex]

[tex]t=0.067\ hr[/tex]

We need to calculate the average speed

Using formula of average speed

[tex]v=\dfrac{D}{T}[/tex]

Where, D = total distance

T = total time

Put the value into the formula

[tex]v=\dfrac{12}{0.12+0.067}[/tex]

[tex]v=64.17\ km/hr[/tex]

Hence, The average speed is less than 70 km/h.