Question

How would I solve this:

At the word “go!” the first person in the chain squeezes the hand of the second person, who in turn immediately squeezes the hand of the third person, and so on. Given the function for time it takes for the signal to transmit around a circle, how long would it take the signal to travel all the way around the world?

91.5 days

65.7 days

102.7 days

83 days

Possible answers, help :)

Answer 1

Distance is involved here. You'd need an approx. measure of the distance around the world. Next, you'd need an approx. measure of how far apart the hands of an average person are.

You mention "a function for the time it takes for the signal to transmit around a circle, but you don't provide said function.

Seems to me that you'd have to come up with a number of assumptions before you'd be able to start calculating a solution.

Answer 2

hold on let me type function

Answer 3

Suppose that the chain could go all the way around the planet. Then the chain’s length would be equal to the circumference of the earth at the equator (about 24,000 miles). Assuming that the average adult arm span is 6 feet, how many people would it take to make this human chain? (Hint: Use 5280 feet = 1 mile.)

Answer 4

I would start by converting 24000 miles to feet

Answer 5

I got 21,120,000 for that question but need to know what's the answer for the first question?

Answer 6

yes you need about 21,120,000 people

Answer 7

does it says how long it takes for the signal to travel from person to person?

Answer 8

no

Answer 9

`Given the function for time it takes for the signal to transmit around a circle`
what function are you given?

Answer 10

There is no given function

Answer 11

no formulas are written? how strange

Answer 12

nope

Answer 13

well it's impossible to answer unless we know how long it takes for one person to receive the signal then to relay it to the next person

Answer 14

nvm It's s=0.42p

Answer 15

that would be the function correct?

Answer 16

yes

Answer 17

so you'll plug in p = 21,120,000

Answer 18

My bad. Didn't realize it at first

Answer 19

that will give you the total time in seconds. Then you'll convert to days

Answer 20

how would I convert seconds into days?

Answer 21

Let's convert from seconds to minutes

there are 60 seconds in a minute

so

\[\Large \left(21,120,000 \ \text{seconds}\right) \times \frac{1 \ \text{minute}}{60 \ \text{seconds}} = \underline{ \ \ \ \ \ \ \ \ } \ \text{minutes}\]

fill in the blank. Tell me what you get

Answer 22

because I got 8,8270,400 when I plugged in 21,120,000 then converted that and got 1021.6481481 for days which doesn't seem right but let me try you're way real quick

Answer 23

I got 352,000 for min

Answer 24

incorrect

Answer 25

oh wait, I messed up

Answer 26

I used the wrong value

Answer 27

Let's convert from seconds to minutes

there are 60 seconds in a minute

so

\[\Large \left(8,870,400 \ \text{seconds}\right) \times \frac{1 \ \text{minute}}{60 \ \text{seconds}} = \underline{ \ \ \ \ \ \ \ \ } \ \text{minutes}\]

fill in the blank. Tell me what you get

Answer 28

I got 147,840 but I don't think It's correct

Answer 29

yep that's how many minutes it takes

\[\Large \left(8,870,400 \ \text{seconds}\right) \times \frac{1 \ \text{minute}}{60 \ \text{seconds}} = \underline{ \ \ \ \ 147,840 \ \ \ \ } \ \text{minutes}\]

Answer 30

now we must convert from minutes to hours

so

\[\Large \left(147,840 \ \text{minutes}\right) \times \frac{1 \ \text{hour}}{60 \ \text{minutes}} = \underline{ \ \ \ \ \ \ \ \ } \ \text{hours}\]

fill in the blank. Tell me what you get

Answer 31

2464

Answer 32

good

Answer 33

next convert from hours to days

there are 24 hours in a day

so

\[\Large \left(2,464 \ \text{hours}\right) \times \frac{1 \ \text{day}}{24 \ \text{hours}} = \underline{ \ \ \ \ \ \ \ \ } \ \text{days}\]

fill in the blank. Tell me what you get

Answer 34

So the answer would be 102.6667 which would be 102.7

Answer 35

correct

Answer 36

days

Answer 37

Thank you :)

Answer 38

no problem