Question

A car traveling at 60 km/h will skid 30 m when its brakes are locked. If the same car is traveling at 180 km/h, what will be its skidding distance? Show your work.

Answer 1

i guess, if you assume that it's proportional, then you can build a ratio:

\(\dfrac{60\;km/h}{30\;m}=\dfrac{180\;km/h}{x\;m}\)

Answer 2

When I solve that am I supposed to see how many times 30 goes into 60 and 180?

Answer 3

\[\frac{ 2km/h }{ m } = \frac{ 6km/h }{ x m }\] ?

Answer 4

Yes, that works, but I would convert meters to kilometers, or vice versa just to make the calculation easier.

Answer 5

Are 500 km equivalent to 1 m?

Answer 6

1km = 1000m

Answer 7

\[\frac{ 2km/h }{ 1000km } = \frac{ 6km/h }{ 1000km \times x }\] ?

Answer 8

No, you converted made 1 m = 1000m; let us start from the beginning. Write your original first equation down.

Answer 9

\[\frac{ 60km/h }{ 30m } = \frac{ 180km/h }{ x m }\]

Answer 10

For simplicity's sake, we shall convert km to m. 1 km is 1000m. So 60 and 180 become 60,000 and 180,000 respectively.

Answer 11

\[\frac{ 60,000m/h }{ 30m } = \frac{ 180,000m/h }{ x m }\]

Answer 12

is that correct?

Answer 13

\[\frac{ 20,000m/h }{ m } = \frac{ 60,000m/h }{ xm }\]

Answer 14

Keep the 180,000

Answer 15

\[\frac{ 20,000m/h }{ m } = \frac{ 180,000m/h }{ xm }\]

Answer 16

good, now cross multiply, keep the units, u should see the unit "m^2/h"

Answer 17

\[\frac{ 20,000m ^{2}/hx }{ 60,000m^2/h }\]

I'm not confident with the placement of the x value

Answer 18

Let's go back to your previous step. 20,000 xm^2/h = 60,000 m^2/h is what you get after cross multiplying.

Answer 19

Oooooh my fault... I see

Answer 20

\[\frac{ 20,000m ^{2}/hx }{ 60,000m^2/h }\]

I'm not confident with the placement of the x value

Answer 21

Oooooh my fault... I see

Answer 22

now divide each side by 20,000 m^2/h (from my equation)

Answer 23

Would that be 30,000m/hx

Answer 24

AH, I know where you went wrong. 60,000/30 is not equal to 20,000/1

Answer 25

So, 2,000 xm^2/h = 60,000 m^2/h is what you actually get after cross multiplying.

Answer 26

make that 60,000 a 180,000 actually

Answer 27

90m, is your final answer.

Answer 28

Thank you so much for going step by step with me ♥

Answer 29

Glad to well :).

Answer 30

help*

Answer 31

If you could I'd appreciate some help on a few more questions but I understand if you can't, thank you again. [:

Answer 32

ask away, I'll see what I can do

Answer 33

thank you