Question

I have two Questions.

1. Find the unit rate of 90 miles/2 hours, in feet per second.

2.Find the unit rate of 120 miles in 8 hours, in feet per second.


(extra credit: Extra Credit: How many unique handshakes can be made between 5 people?)

Answer 1

Explanation:

ww have that 90 miles /2 hours is given and we are asked to find it in feet per second.

`(90 \: mi)/(2 \: hrs) * (5280 \: ft)/(1 \: mi) * (1 \: hr)/(60 \: min) * (1 \: min)/(60 \: sec) = 66`

So we get

66 fps.

2.

`(120 \: miles)/(8 \: hours) * (5280)/(1 \: mile) * (1 \: hour)/(60 \: min) * (1 \: min)/(60 \: seconds) = 22`

So we get 22 fps.

Extra credit There is 5 people and 2 hands so we use the combinations formula.

n!/r!(n-r)!. where n is the number of objects (the number of people) and r is the things taken at the time( the hands)

Subsitue

`(5 * 4 * 3 * 2 * 1)/(2 * 1 * 3 * 2 * 1)`

`(20)/(2) = 10`