Caleb types 100 words in 5 minutes. What is the unit rate?

3 Answers
Jan 27, 2018

Unit rate= #20# words per minute/ #0.3# words per second

Explanation:

We could work out the unit rate in 2 ways:

Per Minute or Per second.

First we will start of with per minute:

Rate=Word/minute

#=100/5=20#

#therefore# He writes 20 words a minute

Per Second:

Find out how many seconds are in a minute (60) and multiply by the total minutes, getting the amount of seconds.

#60 xx 5=300# seconds

Rate= # 100/300 = 1/3 = 0.bar3#

#therefore# He writes #1/3# of word a second, so a word every 3 seconds.

Jan 27, 2018

Alternate way without using rate equations...

Explanation:

Since Caleb trypes 100 words in 5 mins we can say that:

#100 " words" = 5 " minutes" #

Hence we can try and find #1# minute, and to do this we can divide both sides of the equation by 5, remeber what we do to one side, we do to the other:

#100/5 " words " = 5/5 " minutes " #

#=> 20 " words" = 1 " minutes" #

#color(red)(underline( "Hence we can say he types 20 words in 1 minute on average " #

Going further we know:

#1 " minute " = 60 " seconds" #

So we can say:

#20 " words " = 60 " seconds" #

To get 60 seconds, we divide each side by 60:

#20/60 " words " = 60/60 " seconds" #

#1/3 " of a word " = 1 " second" #

# color(red)(underline("Hence we can say he types about 1/3 of a word every second on average "#

Jan 28, 2018

#20"wpm"#

Explanation:

We have;

#100# words

#5# minutes

#"Unit Rate" = "Words"/"Units"#

#"Unit Rate" = 100/5#

#"Unit Rate" = 20 "WordsperUnit"#

#"Unit Rate" = 20"wpm"#