contestada

TIMING THE CAR

"I was walking along the road at three and a half miles an hour," said Mr. Pipkins, "when the car dashed past me and only missed me by a few inches."
"Do you know at what speed it was going?" asked his friend.
"Well, from the moment it passed me to its disappearance round a corner took twenty-seven steps and walking on reached that corner with one hundred and thirty-five steps more."
"Then, assuming that you walked, and the car ran, each at a uniform rate, we can easily work out the speed.

What was the speed?
Explain your method.

Respuesta :

facundo3141592

We can define the speed as the quotient between the distance moved, and the time it takes to move that distance, so we have:

speed = Distance/Time.

Now we can rewrite this as:

Distance = Speed*Time.

We will find that the speed of the car was 21 mi/h.

Here the information given is:

Mr. Pipkins speed is: S = 3.5 mi/h

The car needed 27 "steps" to reach the corner.

Mr. Pipkins needed 27 + 135 = 162 "steps" to reach the same corner.

Because the number of steps is related to time and distance, the ratio between the number of steps should be the same as the ratio between the speeds:

162/27 = 6

(Pipkins needed 6 tomes more steps than the car, so the car moves 6 times faster than Pipkins)

This means that the speed of the car is 6 times larger than the speed of Mr. Pipkins.

Then the speed of the car is:

S' = 6*(3.5 mi/h) = 21 mi/h.

If you want to learn more, you can read:

https://brainly.com/question/24594539

Otras preguntas