Question

If the reading on the odometer of a vehicle in the beginning of a trip and after 40 minutes were 1048 km and1096 km respectively, calculate it's average speed. Will the reading on the Speedometer
show this speed when the vehicle is moving? Support
your answer with reason.
[Ans. 72 km h^-1 ; No, because
speedometer reads instantaneous speed which is
changing]​

Answer 1

Answer:

72 km/hr

Explanation:

Given :

• Initial reading of the odometer = 1048 km
• Final reading of the odometer = 1096 km
• Time taken = 40 minutes = 2/3 hours

To find:

• Average speed of the car

Average speed =total distance /total time

Distance covered = 1096-1048 = 48 km

Average speed = 48/2/3

Average speed = 72 km/h

The average speed of the car is 72 km/h

The speedometer doesnt show this reading as the car moves with different speeds and the computed average is only 72 km/h

Answer 2

Answer:

Given:

• If the reading on the odometer of a vehicle in the beginning of a trip and after 40 minutes were 1048 km and 1096 km respectively.

Find:

• Calculate it's average speed. Will the reading on the Speedometer show this speed when the vehicle is moving?
• Let us take variable 'x' as average speed of car and let 'y' be the distance and 't' be time.

Using formula:

⇒ $\sf x = \dfrac{y}{t}$ that's $\sf [Average \: speed = \dfrac{Distance}{Time}]$

Calculations:

⇒ $\sf y = 1096 - 1048$

⇒ ${\sf{\underline{\boxed{\green{\sf{ y = 48 \: km}}}}}}$

⇒ $\sf \dfrac{48}{\dfrac{ 2 }{3}}$

⇒ ${\sf{\underline{\boxed{\green{\sf{x = 72 \: km/hr}}}}}}$

Therefore, 72 km/hr is the average speed of the car.