Question

Tim typed a 46-word paragraph in 3/4 of a minute. What is his typing speed per minute?

Answer 1

Answer: 61
`(1)/(3)` words per minute

Explanation:

We can set up a proportion to help us solve this question.

`\displaystyle (46\;words)/((3)/(4) \;minute) =(x\;words)/(1\;minute)`

Now, we can cross-multiply.

`(3)/(4)` * x = 46 * 1

`(3)/(4)`x = 46

Lastly, we will isolate the variable. To do this, we will divide both sides of the equation by three-fourths. When dividing by a fraction, we can use "keep, change, flip," meaning we multiply by the reciprocal.

x = 46 ÷
`(3)/(4)`

x = 46 *
`(4)/(3)`

x = 61
`(1)/(3)`