Question

Sophie can type 128 words in 3 minutes. How many minutes will it take her to type 576 words?

Answer 1

128=3
1=0.0234375
576=13.5

13mins 30secs

Answer 2

Answer: 13.5 minutes

Explanation:

Given : Sophie can type 128 words in 3 minutes.

Then , rate of typing =
`\frac{\text{Number of words}}{\text{Time}}`

`=(128)/(3)` (1)

Let x be the minute taken by her to type 576 words.

Then, rate of typing =
`(576)/(x)` (2)

From (1) and (2), we have

`(576)/(x)=(128)/(3)\\\\\Rightarrow\ x=(3*576)/(128)=13.5\text{ minutes}`

Hence, she will take 13.5 minutes to type 576 words.