Question

If it takes 5 minutes to read 300 words how many words per minute does this represent? Also how many minutes does it take to read 1 word?

Answer 1

Unit rate is `0.016bar6` minutes per word

Unit rate is 60 words per minute

Explanation:

Note that the question states particular units. It is good practise to use the same units of measurements in your answer.

The words: "each rate" taken to mean 2 conditions

Condition 1: Unit is to be 1 word

Condition 2: Unit is to be 1 minute.

Let the unknown value be `x`
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`color(blue)("Solving for condition 1")`

Write as a ratio in fractional format `-> ("time")/("word count")-=("time")/1`

`5/300 -= (5-:300)/(300-:300) = (0.016bar6)/1=x/1`

Unit rate is `0.016bar6` minutes per word

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`color(blue)("Solving for condition 2")`

Write as a ratio in fractional format

`("word count")/("time")-=("word count")/1=x/1`

`x/1=(300-:5)/(5-:5) =60/1`

Unit rate is 60 words per minute
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`color(blue)("Interesting fact")`

60 words per minute `->60/1`

However, if you invert this (turn upside down) then you get the other rate

`1/60-> 1-:60 = 0.016bar6`